Question

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

• A. 4
• B. – 4
• C. 2
• D. – 2

Answer 1

Answer: (B)

– 4

Answer 2

Let ABCD be a rectangle. Given A (1, 3) and C

(5, 1). Equation B and D lie on $y = 2 x + c$

We know that intersecting point of diagonal of rectangle is same or at midpoint. So mid point of AC is (3, 2). So $y = 2 x + c$ passes throguh (3, 2). Hence $c = - 4$.