## NCERT10th MathematicsExercise 7.1Topic: 7 Coordinate geometry

## Click here for ⇨ NCERT-10-6-Triangles - Ex- 6.6

### EXERCISE 7.1

**Q 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)

**Q2. Find the distance between the points (0, 0) and (36, 15). Can you now find**

the distancebetween the two towns A and B discussed in Section 7.2.

### Solution:

### Solution:

triangle.

in following figure. Champaand Chameli walk into the classand after observing for a fewminutes Champa asks Chameli,“Don’t you think ABCD is asquare?” Chameli disagrees.Using the distance formula, findwhich of them is correct.

1) First we will find the coordinates of points A, B, C, and D, See the following

figure.

give reasons foryour 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:

**(i) (– 1, – 2), (1, 0), (– 1, 2), (– 3, 0)**

**(iii) (4, 5), (7, 6), (4, 3), (1, 2)**

**Q 7. Find the point on the x-axis which is equidistant from (2, –5)**

and (–2, 9).

### Solution:

**Q 8. Find the values of y for which the distance between the points**

P(2, – 3)and Q(10, y) is10 units.

Alsofind thedistances QR and PR.

from the point(3, 6) and (– 3, 4).

### Solution:

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