If P $\left(\frac{a}{3}, 4\right)$ is the mid-point of the line segment joining the points Q $(-6, 5)$ and R $(-2, 3)$,

Question

If P $\left(\frac{a}{3}, 4\right)$ is the mid-point of the line segment joining the points Q $(-6, 5)$ and R $(-2, 3)$, then the value of 'a' is:

Accepted Answer

Since P is the midpoint of Q and R, the x-coordinate of P is $\frac{x1 + x2}{2}$. Thus, $\frac{a}{3} = \frac{-6 + (-2)}{2} \implies \frac{a}{3} = \frac{-8}{2} \implies \frac{a}{3} = -4 \implies a = -12$. Therefore, the correct option is B.

Coordinate Geometry

❓ Sibling Questions in this Chapter