The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is

- -5
- -6
- -7
- -8

In a rectangle, diagonals bisect each other, so one diagonal should pass through the midpoint of the other.

Midpoint of the diagonal connecting (2, 5) and (6, 3)

= [(2+6)/2, (5+3)2] = (4, 4)

The other diagonal, y = 3x + c should also pass through (4, 4).

On substitution,

4 = 3(4) + c

c = -8

**The correct option is D.**

- Two parallel chords of a circle whose diameter is 13 cm are respectively 5 cm and 12 cm
- ∠A = 80° and ∠ABC = 60°. BD and CD bisect angles B and C
- If A, B, C, D are the successive angles of a cyclic quadrilateral
- AB, CD and EF are three parallel lines, in that order
- In a circle with center O and radius 1 cm