# NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1

### Ex 7.1 Class 10 Maths Question 1.

Find the distance between the following pairs of points:
(i) (2, 3), (4, 1)
(ii) (-5, 7), (-1, 3)
(iii) (a, b), (-a, -b)

Solution for Ex 7.1 Class 10 Maths Question 1 ### Ex 7.1 Class 10 Maths Question 2.

Find the distance between the points (0, 0) and (36, 15).

Solution for Ex 7.1 Class 10 Maths Question 2 ### Ex 7.1 Class 10 Maths Question 3.

Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear.

Solution for Ex 7.1 Class 10 Maths Question 3 #### Ex 7.1 Class 10 Maths Question 4.

Check whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.

Solution for Ex 7.1 Class 10 Maths Question 4 ### Ex 7.1 Class 10 Maths Question 5.

In a classroom, 4 friends are seated at the points A, B, C and D as shown in the given figure. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using distance formula, find which of them is correct. Solution for Ex 7.1 Class 10 Maths Question 5 ### Ex 7.1 Class 10 Maths Question 6.

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer.
(i) (-1, -2), (1, 0), (-1, 2), (-3, 0)
(ii) (-3, 5), (3, 1), (0, 3), (-1, -4)
(iii) (4, 5), (7, 6), (4, 3), (1, 2)

Solution for Ex 7.1 Class 10 Maths Question 6 ### Ex 7.1 Class 10 Maths Question 7.

Find the point on the x-axis which is equidistant from (2, -5) and (-2, 9).

Solution for Ex 7.1 Class 10 Maths Question 7 ### Ex 7.1 Class 10 Maths Question 8.

Find the values of y for which the distance between the points P (2, -3) and Q (10, y) is 10 units.

Solution for Ex 7.1 Class 10 Maths Question 8 ### Ex 7.1 Class 10 Maths Question 9.

If Q (0, 1) is equidistant from P (5, -3), and R (x, 6), find the values of x. Also, find the distances QR and PR.

Solution for Ex 7.1 Class 10 Maths Question 9 ### Ex 7.1 Class 10 Maths Question 10.

Find a relation between x and y such that the point (x, y) is equidistant from the points (3, 6) and (-3, 4).

Solution for Ex 7.1 Class 10 Maths Question 10 