Question

$P(-3,4),Q(2,3),R(-2,-5)$ are the vertices of the $△PQR$. The equations of all the medians of $△PQR$ are

• A. $5x+3y-3=0,7x-9y-13=0,17x-3y+19=0$
• B. $5x+3y+3=0,7x-9y+13=0,17x-3y+19=0$
• C. $5x-3y+3=0,7x-9y+13=0,17x+3y+19=0$
• D. $5x-3y-3=0,7x-9y+13=0,17x+3y+19=0$

Answer 1

The correct option is B $5x+3y+3=0,7x-9y+13=0,17x-3y+19=0$

Given vertices

$P(-3,4),Q(2,3),R(-2,-5)$

so mid points of sides PQ,QR,PR are M,N,O respectively

$M(\frac{-3+2}{2},\frac{4+3}{2})$

$M(\frac{-1}{2},\frac{7}{2})$

$N(\frac{-2+2}{2},\frac{3-5}{2})$

$N(0,-1)$

$O(\frac{-3-2}{2},\frac{4-5}{2})$

$O(\frac{-5}{2},\frac{-1}{2})$

Now eq of median using two point form

$MR:17x-3y+19=0$

$PN:5x+3y+3=0$

$OQ:7x-9y+13=0$