NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2.
- Coordinate Geometry Class 10 Ex 7.1
- Coordinate Geometry Class 10 Ex 7.2
- Coordinate Geometry Class 10 Ex 7.3
- Coordinate Geometry Class 10 Ex 7.4
Board | CBSE |
Textbook | NCERT |
Class | Class 10 |
Subject | Maths |
Chapter | Chapter 7 |
Chapter Name | Coordinate Geometry |
Exercise | Ex 7.2 |
Number of Questions Solved | 10 |
Category | NCERT Solutions |
NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2
Ex 7.2 Class 10 Maths Question 1.
Find the coordinates of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2 : 3.
Solution:
Ex 7.2 Class 10 Maths Question 2.
Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).
Solution:
Ex 7.2 Class 10 Maths Question 3.
To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in the given
figure below. Niharika runs \(\frac { 1 }{ 4 }\) the distance AD on the 2nd line and posts a green flag. Preet runs \(\frac { 1 }{ 5 }\) the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
Solution:
From the figure, taking A as (0, 0), x-axis along AB and y-axis along AD, we will obtain the coordinates of the green flag and the red flag.
Ex 7.2 Class 10 Maths Question 4.
Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6).
Solution:
Let the point P(-1, 6) divides the joining of A(-3, 10) and B(6, -8) in the ratio k: 1.
Ex 7.2 Class 10 Maths Question 5.
Find the ratio in which line segment joining A (1, -5) and B (-4, 5) is divided by the x-axis. Also, find the coordinates of the point of division.
Solution:
Let p(x, 0) be the point which divides the line segment joining A(1,-5) and B(-4, 5) in the ratio m: 1.
Ex 7.2 Class 10 Maths Question 6.
If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.
Solution:
Since the diagonals of a parallelogram bisect each other, so mid-points of diagonal AC and diagonal BD will be the same.
Ex 7.2 Class 10 Maths Question 7.
Find the coordinates of a point A, where AB is the diameter of a circle whose center is (2, -3) and B is (1, 4).
Solution:
Ex 7.2 Class 10 Maths Question 8.
If A and B are (-2, -2) and (2, -4), respectively, find the coordinates of P such that AP = \(\frac { 3 }{ 7 }\) AB and P lies on the line segment AB.
Solution:
Ex 7.2 Class 10 Maths Question 9.
Find the coordinates of the points which divide the line segment joining A (-2, 2) and B (2, 8) into four equal parts.
Solution:
let points D, E and F divide AB into four equal parts such that AD = DE = EF = FB
Ex 7.2 Class 10 Maths Question 10.
Find the area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order.
Solution:
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