Question

If A(m/2,5) is the midpoint of the line segment joining Q(-6,7) and R(-2,3) then find the value of m.​

Answer 1

Answer:

If A (m/3,5) is the midpoint of the line joining the points Q (-6,7) and R (-2,3), then it is clear that the points are collinear and also Q,R are equidistant from A.

QA=AR

QA²=AR²

Using distance formula,

[(m/3)-(-6)]²+(5–7)² = (-2-(m/3)²)+(3–5)²

[(m/3)+6]²+(–2)² = (-2-(m/3)²)+(–2)²

[(m/3)+6]²= [2+(m/3)]²

m/3 = -4

m=-12

Ans: m=-12