Question

If P, a/3, 4 a 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

Answer 1

(B) -12

Given,

P is the mid - point of the line segment joining the points Q and R

Where;

P = (a/3, 4)

Q = ( - 6, 5)

R = ( - 2, 3)

Shown in the figure given below;

∴ a = - 12

Hence, the required value of a = - 12