If P a/3, 4 is the mid-point of the line segment joining the points Q (– 6, 5) and R (– 2, 3), then the value of a is
a. –4
b. –12
c. 12
d. –6

Solution:

It is given that

P is the mid-point of the line segment QR

P_x = a/3 = (-6 - 2)/2

By cross multiplication we get

2a = -24

Dividing both sides by 2

a = -12

Therefore, the value of a is -12.

✦ Try This: If A a/2, 3 is the mid-point of the line segment joining the points B (-5, 4) and C (-3, 4), then the value of a is

It is given that

A is the mid-point of the line segment BC

A_x = a/2 = (-5 - 3)/2

By cross multiplication we get

2a = -16

Dividing both sides by 2

a = - 8

Therefore, the value of a is -8.

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

NCERT Exemplar Class 10 Maths Exercise 7.1 Problem 13

If P a/3, 4 is the mid-point of the line segment joining the points Q (– 6, 5) and R (– 2, 3), then the value of a is a. –4, b. –12, c. 12, d. –6

Summary:

If P a/3, 4 is the mid-point of the line segment joining the points Q (– 6, 5) and R (– 2, 3), then the value of a is - 12

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