Question

find the value of m .check they are collinear

Answer 1

(3,5);( m,6);(1/2,15/2) are collinear
if three points are collinear then area of triangle will be zero
area of triangle =1/2 [ x1 (y2-y3)+x2(y3-y1)+x3(y1-y2)]=0
3 (6-15/2)+ m (15/2-5)+1/2 (5-6)=0
3×(-3/2)+ m (5/2)+1/2 (-1)=0
-9/2+5m/2-1/2=0
-9+5 m-1=0
5m = 10
m = 2