Question

Find the equation of the median from the vertex $R$ in a $△PQR$ with vertices at $P(1,-3),Q(-2,5)$ and $R(-3,4)$.

• A. $6x+5y-2=0$
• B. $6x-5y-2=0$
• C. $6x+5y+2=0$
• D. None of these

Answer 1

The correct option is A $6x+5y-2=0$

So Coordinates of foot of median from R=($\frac{1-2}{2},\frac{-3+5}{2})$

=$(\frac{-1}{2},1)$

Equation of median from R is given by

$y-4=\frac{4-1}{-3+\frac{1}{2}}(x+3)$

$⟹-5(y-4)=6(x+3)⟹-5y+20=6x+18⟹6x+5y-2=0$