The points (1,3) and (5,1) are the opposite vertices of a rectangle. The other two vertices lie on the line \[b\sin A>a,A>\frac{\pi }{2}\], then the value of c will be :
A) 4
B)-4
C) 2
D) -2
Correct Answer:
B
Solution :
We know that the mid-point of diagonals lies on line\[y=2x+c,\]here mid-point is (3,2), hence\[c=-4\]