NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2

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NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2

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.

Question 1.
Find the coordinates of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2 : 3.
Solution:
Coordinate Geometry Class 10 Maths NCERT Solutions Ex 7.2 PDF Download Q1

 

Question 2.
Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).
Solution:
Coordinate Geometry Class 10 Maths NCERT Solutions Ex 7.2 PDF Q2

 

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 given
figure below. Niharika runs \frac { 1 }{ 4 }th the distance AD on the 2nd line and posts a green flag. Preet runs \frac { 1 }{ 5 }th 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?
NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2 Q3
Solution:
Coordinate Geometry Class 10 Maths NCERT Solutions Ex 7.2 Q3
The blue flag is in the 5th line, at a distance of 22.5 m.

Question 4.
Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6).
Solution:
Coordinate Geometry Class 10 Maths NCERT Solutions Ex 7.2 PDF Free Download Q4

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:
Exercise 7.2 Class 10 Coordinate Geometry Maths NCERT Solutions PDF Download Q5

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:
Exercise 7.2 Class 10 Coordinate Geometry Maths NCERT Solutions Q6

 

Question 7.
Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, -3) and B is (1, 4).
Solution:
Ch 7 maths class 10 Maths NCERT Solutions Ex 7.2 PDF Download Q7

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:
Ch 7 maths class 10 Maths NCERT Solutions PDF Download Q8

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:
Ch 7 maths class 10 Maths NCERT Solutions Ex 7.2 PDF Download Q9

Question 10.
Find the area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order.
[Hint: Area of a rhombus = \frac { 1 }{ 2 }(product of its diagonals)]
Solution:
Ch 7 maths class 10 Maths NCERT Solutions Q10

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