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A rectangle is inscribed in a circle wit...

A rectangle is inscribed in a circle with a diameter lying along the line 3y = x + 7. If the two adjacent vertices of the rectangle are (– 8, 5) and (6, 5), then the area of the rectangle (in sq. units) is

A

84

B

56

C

72

D

98

Text Solution

Verified by Experts

The correct Answer is:
A
Mid point of AC `(-1, (5 + y_(1))/(2))` lies on diameter 3y = x + 7
`implies 3 ((5 + y_(1))/(2)) = - 1 + 7`
`implies y_(1 = - 1`
Area of rectangle `= 14 xx 6 = 84`
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