A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

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

**Solution:**

We know that the distance between the two points is given by the Distance Formula = √[( x₂_{ - }x₁_{ })^{2} + (y₂ - y₁)^{2}]

By substituting the values of points P (2, - 3) and Q (10, y) in the distance formula, we get

PQ = √(2 - 10)² + (- 3 - y)² = 10

PQ = √(- 8)² + (3 + y)² = 10

Squaring on both sides, we get

64 + (y + 3)^{2} = 100

(y + 3)^{2} = 36

y + 3 = √36

y + 3 = ± 6

y + 3 = 6 or y + 3 = - 6

Therefore, y = 3 or - 9 are the possible values for y.

**☛ Check: **NCERT Solutions for Class 10 Maths Chapter 7

**Video Solution:**

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

NCERT Class 10 Maths Solutions Chapter 7 Exercise 7.1 Question 8

**Summary:**

The values of y for which the distance between the points P (2, - 3) and Q (10, y) is 10 units are y = 3 or - 9.

**☛ Related Questions:**

- Check whether (5, - 2), (6, 4) and (7, - 2) are the vertices of an isosceles triangle.
- In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. 7.8. 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.
- 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)
- Find the point on the x-axis which is equidistant from (2, - 5) and (- 2, 9).

Math worksheets and

visual curriculum

visual curriculum