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ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Chapter Test

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test

Question 1.
Draw a straight line AB of length 8 cm. Draw the locus of all points which are equidistant from A and B. Prove your statement.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test 1

Question 2.
A point P is allowed to travel in space. State the locus of P so that it always remains at a constant distance from a fixed point C.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test 2

Question 3.
Draw a line segment AB of length 7 cm. Construct the locus of a point P such that area of triangle PAB is 14 cm².
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test 3

Question 4.
Draw a line segment AB of length 12 cm. Mark M, the mid-point of AB. Draw and describe the locus of a point which is
(i) at a distance of 3 cm from AB.
(ii) at a distance of 5 cm from the point M. Mark the points P, Q, R, S which satisfy both the above conditions. What kind of quadrilateral is PQRS? Compute the area of the quadrilateral PQRS.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test 4

Question 5.
AB and CD are two intersecting lines. Find the position of a point which is at a distance of 2 cm from AB and 1.6 cm from CD.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test 5

Question 6.
Two straight lines PQ and PK cross each other at P at an angle of 75°. S is a stone on the road PQ, 800 m from P towards Q. By drawing a figure to scale 1 cm = 100 m, locate the position of a flagstaff X, which is equidistant from P and S, and is also equidistant from the road.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test 6

Question 7.
Construct a rhombus PQRS whose diagonals PR, QS are 8 cm and 6 cm respectively. Find by construction a point X equidistant from PQ, PS and equidistant from R, S. Measure XR.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test 7

Question 8.
Without using set square or protractor, construct the parallelogram ABCD in which AB = 5.1 cm. the diagonal AC = 5.6 cm and the diagonal BD = 7 cm. Locate the point P on DC, which is equidistant from AB and BC.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test 8

Question 9.
By using ruler and compass only, construct a quadrilateral ABCD in which AB = 6.5 cm, AD = 4 cm and ∠DAB = 75°. C is equidistant from the sides AB and AD, also C is equidistant from the points A and B.
Solution:
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 14 Locus Chapter Test 9

ML Aggarwal Class 10 Solutions for ICSE Maths

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