Question

A rectangle ABCD is inscribed in a circle with a diameter lying along the line. 3y=x+10. If A = (-6,7), B=(4,7) then the area of rectangle is

• A. 80
• B. 40
• C. 160
• D. 20

Answer 1

The correct option is A

80

From the figure we can say that x co - ordinate of the centre O is - 1.

O (x, 7) lies on 3y = x + 10

$\therefore$ y = 3

$\therefore$ OC = 4

AD = 2 OC

= 8

Area of rectangle $=8\times 10$

= 80