• Skip to main content
  • Skip to primary sidebar
  • Skip to footer
  • NCERT Solutions
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
    • Wordfeud Cheat
  • MCQ Questions

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

Circles Class 10 Maths CBSE Important Questions With Solutions

Important Questions for Class 10 Maths Chapter 10 Circles with solutions includes all the important topics with detailed explanation that aims to help students to score more marks in Board Exams 2020. Students who are preparing for their Class 10 exams must go through Important Questions for Class 10 Math Chapter 10 Circles.

Important Questions for Class 10 Maths Chapter 10 Circles

Expert teachers at CBSETuts.com collected and solved 2 Marks and 4 mark important questions for Class 10 Maths Chapter 10 Circles.

MathsScienceEnglishSocialHindi AHindi B

2016

Very Short Answer Type Questions [1 Mark]

Question 1.
From an external point P, tangents PA and PB are drawn to a circle with centre O. If ∠PAB = 50°, then find ∠AOB.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 1

Question 2.
In given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter and ∠CAB = 30°, find ∠PCA
Circles Class 10 Maths CBSE Important Questions With Solutions 2
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 3

Question 3.
In figure given, AOB is a diameter of a circle with centre O and AC is a tangent to the circle at A. If ∠BOC = 130°, then find ∠ACO.
Circles Class 10 Maths CBSE Important Questions With Solutions 4
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 5

Short Answer Type Questions I [2 Marks]

Question 4.
In given figure, a circle is inscribed in a ΔABC, such that it touches the sides AB, BC and CA at points D, E and F respectively. If the lengths of sides AB, BC and CA are 12 cm, 8 cm and 10 cm respectively, find the lengths of AD, BE and CF
Circles Class 10 Maths CBSE Important Questions With Solutions 6
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 7

Question 5.
If given figure, AP and BP are tangents to a circle with centre O, such that AP = 5 cm and ∠APB = 60°. Find the length of chord AB.
Circles Class 10 Maths CBSE Important Questions With Solutions 8
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 9

Question 6.
In figure, a quadrilateral ABCD is drawn to circumscribe a circle, with centre O, in such a way that the sides AB, BC, CD and DA touch the circle at the points P, Q, R and S respectively. Prove that AB + CD = BC + DA.
Circles Class 10 Maths CBSE Important Questions With Solutions 10
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 11

Question 7.
In given figure, from an external point P, two tangents PT and PS are drawn to a circle with centre O and radius r.If PO = 2r, show that ∠OTS =∠OST = 30°.
Circles Class 10 Maths CBSE Important Questions With Solutions 12
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 13

Question 8.
In given figure, from a point P, two tangents PT and PS are drawn to a circle with centre O such that ∠SPT = 120°, Prove that OP = 2PS
Circles Class 10 Maths CBSE Important Questions With Solutions 14
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 15

Question 9.
In given figure, there are two concentric circles of radii 6 cm and 4 cm with centre O. If AP is a tangent to the larger circle and BP to the smaller circle and length of AP is 8cm, find the length of BP
Circles Class 10 Maths CBSE Important Questions With Solutions 16
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 17

Long Answer Type Questions [4 Marks]

Question 10.
Prove that the lengths of tangents drawn from an external point to a circle are equal
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 18
Circles Class 10 Maths CBSE Important Questions With Solutions 19

Question 11.
Circles Class 10 Maths CBSE Important Questions With Solutions 20
Circles Class 10 Maths CBSE Important Questions With Solutions 21
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 22

Question 12.
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 23

Question 13.
In given figure, two equal circles, with centres O and O’, touch each other at X. OO’ produced meets the circle with centre O’ at A. AC is tangent to the circle with centre O, at the point C. O’D is perpendicular to AC. Find the value of DO’/CO.
Circles Class 10 Maths CBSE Important Questions With Solutions 24
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 25

Question 14.
In given figure, AB is a chord of a circle, with centre O, such that AB = 16 cm and radius of circle is 10 cm. Tangents at A and B intersect each other at P. Find the length of PA
Circles Class 10 Maths CBSE Important Questions With Solutions 26
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 27

2015

Very Short Answer Type Questions [1 Mark

Question 15.
In figure, PA and PB are tangents to the circle with centre O such that ∠APB = 50°. Write the measure of ∠OAB
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 28

Question 16.
Find the relation between x and y if the points A(x, y), B(-5, 7) and C(-4, 5) are collinear
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 29

Question 17.
Two concentric circles of radii a and b(a > b) are given. Find the length of the chord of the larger circle which touches the smaller circle.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 30
Circles Class 10 Maths CBSE Important Questions With Solutions 31

Short Answer Type Questions I [2 Marks]

Question 18.
In figure, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ
Circles Class 10 Maths CBSE Important Questions With Solutions 32
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 33

Question 19.
From a point T outside a circle of centre O, tangents TP and TQ are drawn to the circle. Prove that OT is the right bisector of the line segment PQ.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 34
Circles Class 10 Maths CBSE Important Questions With Solutions 35

Question 20.
In figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ = 120°, then prove that OR = PR + RQ.
Circles Class 10 Maths CBSE Important Questions With Solutions 36
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 37

Question 21.
In figure, a triangle ABC is drawn to circumscribe a circle of radius 3 cm, such that the segments BD and DC are respectively of lengths 6 cm and 9 cm. If the area of ΔABC is 54 cm², then find the lengths of sides AB and AC
Circles Class 10 Maths CBSE Important Questions With Solutions 38
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 39

Question 22.
In figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If ∠TPQ = 70°, find ∠TRQ
Circles Class 10 Maths CBSE Important Questions With Solutions 40
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 41

Question 23.
In figure, PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. Find the lengths of TP and TQ
Circles Class 10 Maths CBSE Important Questions With Solutions 42
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 43

Long Answer Type Questions [4 Marks]

Question 24.
In figure, tangents PQ and PR are drawn from an external point P to a circle with centre O, such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ. Find ∠RQS
Circles Class 10 Maths CBSE Important Questions With Solutions 44
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 45
Circles Class 10 Maths CBSE Important Questions With Solutions 46

Question 25.
Prove that the tangent at any point of a circle is perpendicular to the radius throug the point of contact
Solution:
Refer to Ans. 12

Question 26.
Prove that the lengths of the tangents drawn from an external point to a circle are equal
Solution:
Refer to Ans. 10.

Question 27.
Prove that the tangent drawn at the mid-point of an arc of a circle is parallel to the chord joining the end points of the arc.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 47
Circles Class 10 Maths CBSE Important Questions With Solutions 48

Question 28.
In figure, O is the centre of the circle and TP is the tangent to the circle from an external point T. If ∠PBT = 30°, prove that BA: AT = 2:1
Circles Class 10 Maths CBSE Important Questions With Solutions 49
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 50

2014

Short Answer Type Questions I [2 Marks]

Question 29.
Prove that the line segment joining the points of contact of two parallel tangents of a circle, passes through its centre.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 51

Question 30.
If from an external point P of a circle with centre O, two tangents PQ and PR are drawn, such that ∠QPR = 120°, prove that 2PQ = PO.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 52

Question 31.
In figure, common tangents AB and CD to the two circles with Centres O1 and O2 intersect at E. Prove that AB = CD.
Circles Class 10 Maths CBSE Important Questions With Solutions 53
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 54

Question 32.
The incircle of an isosceles triangle ABC, in which AB = AC, touches the sides BC, CA and AB at D, E and F respectively. Prove that BD = DC
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 55

Question 33.
In figure, XP and XQ are two tangents to the circle with centre O, drawn from an external point X. ARB is another tangent, touching the circle at R. Prove that XA+AR=XB+BR.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 56

Question 34.
Prove that the tangents drawn at the ends of any diameter of a circle are parallel.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 57
Circles Class 10 Maths CBSE Important Questions With Solutions 58

Long Answer Type Questions [4 Marks]

Question 35.
Prove that the length of the tangents drawn from an external point to a circle are equal.
Solution:
Refer to Ans. 10.

Question 36.
Prove that a parallelogram circumscribing a circle is a rhombus
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 59

Question 37.
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact
Solution:
Refer to Ans. 12.

Question 38.
In figure, PQ is a chord of length 16 cm, of a circle of radius 10 cm. The tangents at P and Q intersect at a point T. Find the length of TP.
Circles Class 10 Maths CBSE Important Questions With Solutions 60
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 61
Circles Class 10 Maths CBSE Important Questions With Solutions 62

Question 39.
Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 63
Circles Class 10 Maths CBSE Important Questions With Solutions 64

Question 40.
In figure, a triangle ABC is drawn to circumscribe a circle of radius 4 cm, such that the segments BD and DC are of lengths 8 cm and 6 cm respectively. Find the sides AB and AC.
Circles Class 10 Maths CBSE Important Questions With Solutions 65
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 66
Circles Class 10 Maths CBSE Important Questions With Solutions 67

Question 41.
Prove that the lengths of the tangents drawn from an external point to a circle are equal.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 68

Question 42.
A quadrilateral is drawn to circumscribe a circle. Prove that the sums of opposite sides are equal
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 69

2013

Short Answer Type Questions I [2 Marks]

Question 43.
Prove that the parallelogram circumscribing a circle is a rhombus
Solution:
Refer to Ans. 36.

Question 44.
In the given figure, a circle inscribed in ΔABC touches its sides AB, BC and AC at points D, E and F respectively. If AB = 12 cm, BC = 8 cm and AC = 10 cm, then find the lengths of AD, BE and CF
Circles Class 10 Maths CBSE Important Questions With Solutions 70
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 71

Question 45.
In the given figure, two circles touch each other at the point C. Prove that the common tangent to the circles at C, bisects the common tangent at P and Q.
Circles Class 10 Maths CBSE Important Questions With Solutions 72
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 73

Question 46.
In the given figure, a quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 74

Question 47.
In the given figure, a circle inscribed in ΔABC, touches its sides BC, CA and AB at the points P, Q and R respectively. If AB = AC, then prove that BP = CP.
Circles Class 10 Maths CBSE Important Questions With Solutions 75
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 76

Question 48.
In the given figure, two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that ∠APB = 2 ∠OAB
Circles Class 10 Maths CBSE Important Questions With Solutions 77
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 78
Circles Class 10 Maths CBSE Important Questions With Solutions 129

Long Answer Type Questions [4 Marks]

Question 49.
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact
Solution:
Refer to ANS.12

Question 50.
In the given figure l,m are two parallel tangents to the circle with center O,touching the circle at A and B respectively.Another tangent at C intersect the line l at D and m at E. prove that ∠DOE=90
Circles Class 10 Maths CBSE Important Questions With Solutions 79
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 80

Question 51.
Prove that the lengths of tangents drawn from an external point to a circle are equal.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 81

Question 52.
In the given figure, PA and PB are two tangents drawn from an external point P to a circle with centre O. Prove that OP is the right bisector of line segment AB.
Circles Class 10 Maths CBSE Important Questions With Solutions 82
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 83

Question 53.
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 84

Question 54.
In the given figure, the sides AB, BC and CA of ΔABC touch a circle with centre O and radius r at P, Q and R respectively.
Prove that:

  1. AB + CQ = AC + BQ
  2. Area (ΔABC) = 1/2 (perimeter of  ΔABC) X r
    Circles Class 10 Maths CBSE Important Questions With Solutions 85
    Solution:
    Circles Class 10 Maths CBSE Important Questions With Solutions 86

2012

Short Answer Type Questions I [2 Marks]

Question 55.
Tangents PA and PB are drawn from an external point P to two concentric circles with centre O and radii 8 cm and 5 cm respectively, as shown in Fig. If AP = 15 cm, then find the length of BP
Circles Class 10 Maths CBSE Important Questions With Solutions 87
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 88
Circles Class 10 Maths CBSE Important Questions With Solutions 89

Question 56.
In figure, an isosceles triangle ABC, with AB = AC, circumscribes a circle. Prove that the point of contact P bisects the base BC
Circles Class 10 Maths CBSE Important Questions With Solutions 90
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 91

Question 57.
In figure, the chord AB of the larger of the two concentric circles, with centre O, touches the smaller circle at C. Prove that AC = CB.
Circles Class 10 Maths CBSE Important Questions With Solutions 92
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 93
Circles Class 10 Maths CBSE Important Questions With Solutions 94

Question 58.
In figure, a right triangle ABC, circumscribes a circle of radius r. If AB and BC are of lengths 8 cm and 6 cm respectively, find the value of r.
Circles Class 10 Maths CBSE Important Questions With Solutions 95
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 96

Question 59.
Prove that the tangents drawn at the ends of a diameter of a circle are parallel
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 97

Question 60.
The incircle of an isosceles triangle ABC, with AB = AC, touches the sides AB, BC and CA at D, E and F respectively. Prove that E bisects BC
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 98
Circles Class 10 Maths CBSE Important Questions With Solutions 99

Question 61.
Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 100

Short Answer Type Questions II [3 Marks]

Question 62.
Prove that the parallelogram circumscribing a circle is a rhombus.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 101

Question 63.
Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 102

Question 64.
In figure, a circle is inscribed in a triangle PQR with PQ = 10 cm, QR = 8 cm and PR = 12 cm. Find the lengths QM, RN and PL.
Circles Class 10 Maths CBSE Important Questions With Solutions 103
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 104

Question 65.
Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that ∠PTQ = 2∠OPQ
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 105

Question 66.
In figure, XY and X’Y’ are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersects XY at A and X’Y’ at B. Prove that ∠AOB = 90°.
Circles Class 10 Maths CBSE Important Questions With Solutions 106
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 107
Circles Class 10 Maths CBSE Important Questions With Solutions 108

Long Answer Type Questions [4 Marks]

Question 67.
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact
Solution:
Refer to Ans. 12.

Question 68.
A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC.
Solution:
Refer to Ans. 46.

Question 69.
Prove that the lengths of tangents drawn from an external point to a circle are equal. Using it, prove: quadrilateral ABCD is drawn to circumscribe a circle. Such’that AB + CD = AD + BC
Circles Class 10 Maths CBSE Important Questions With Solutions 109
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 110
Circles Class 10 Maths CBSE Important Questions With Solutions 111

Question 70.
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 112
Refer to Ans. 12.

2011

Short Answer Type Questions I [2 Marks]

Question 71.
Two concentric circles are of radii 7 cm and r cm respectively, where r >7 .A chord of the larger circle, of length 48 cm, touches the smaller circle. Find the value of r.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 113

Question 72.
In figure, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm, BC = 9 cm and CD = 8 cm. Find the length of side AD.
Circles Class 10 Maths CBSE Important Questions With Solutions 114
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 115

Question 73.
If d1, d2 (d2 > d1) be the diameters of two concentric circles and c be the length of a chord of a circle which is tangent to the other circle, prove that d²2 = c² + d².
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 116

Short Answer Type Questions II [3 Marks]

Question 74.
Circles Class 10 Maths CBSE Important Questions With Solutions 117
Circles Class 10 Maths CBSE Important Questions With Solutions 118
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 119
Circles Class 10 Maths CBSE Important Questions With Solutions 120

Long Answer Type Questions [4 Marks]

Question 75.
Prove that the lengths of tangents drawn from an external point to a circle are equal.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 121

Question 76.
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact
Solution:
Refer to Ans. 12.

Question 77.
Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 122
Circles Class 10 Maths CBSE Important Questions With Solutions 123

2010

Very Short Answer Type Questions [1 Mark]

Question 78.
In figure, CP and CQ are tangents from an external point C to a circle with centre O. AB is another tangent which touches the circle at R. If CP = 11 cm and BR = 4 cm, find the length of BC.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 124
Circles Class 10 Maths CBSE Important Questions With Solutions 125

Question 79.
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 13 cm. Find the length PQ.
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 126

Short Answer Type Questions I [2 Marks]

Question 80.
Prove that the lengths of tangents drawn from an external point to a circle are equal. Using the above prove the following: In Fig., PA and PB are tangents from an external point P , to a circle with centre O. LN touches the circle at M. Prove that PL + LM = PN + MN.
Solution:
Refer to Ans. 10 and 33.

Question 81.
In figure, there are two concentric circles, with centre O and of radii 5 cm and 3 cm. From an external point P, tangents PA and PB are drawn to these circles. If AP = 12 cm, find the length of BP.
Circles Class 10 Maths CBSE Important Questions With Solutions 127
Solution:
Circles Class 10 Maths CBSE Important Questions With Solutions 128

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers

Recent Posts

  • Development Class 10 Important Questions Social Science Economics Chapter 1
  • Agriculture Class 10 Important Questions Social Science Geography Chapter 4
  • Biomolecules Class 11 Notes Biology Chapter 9
  • NCERT Exemplar Class 10 Maths Solutions Chapter 13 Statistics and Probability
  • Important Questions for Class 12 Computer Science (Python) – Review of Python
  • NCERT Solutions for Class 7 Hindi Vasant Chapter 14 खानपान की बदलती तस्वीर
  • Selina Concise Mathematics Class 7 ICSE Solutions Chapter 20 Mensuration
  • Antonyms and Synonyms Exercises for Class 8 CBSE With Answers – English Grammar
  • NCERT Class 10 Science Lab Manual Cleaning Capacity of Soap in Hard and Soft Water
  • NCERT Solutions for Class 11 Hindi Core – अपठित बोध- अपठित काव्यांश
  • CBSE Revision Notes for Class 10 English First Flight Chapter 2 Nelson Mandela: Long Walk to Freedom
  • ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 18 Mensuration Ex 18.4
  • Power Sharing Class 10 Important Questions Social Science Political Science Chapter 1
  • Important Questions for CBSE Class 12 Chemistry – The d- and f- Block Elements
  • CBSE Class 12 Business Studies Case Studies – Consumer Protection

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions