Question

The points (1, 3) and (5, 1) are the opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c, then the value of c will be-

• A. 4
• B. – 4
• C. 2
• D. – 2

Answer 1

Answer: (B)

– 4

Answer 2

M = $\left( \frac{5 + 1}{2},\frac{1 + 3}{2} \right)$

= (3, 2)

Q M lies on y = 2x + c

Ž 2 = 2 × 3 + c

Ž c = – 4