Question
The area of the circle x +y =16 exterior to the parabola y2 = 6x is
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Solution
C.
The equation of circle is
...(1)
The equation of parabola is
...(2)
From (1) and (2),
or 
x = -8, 2
Rejecting x = -8 as parabola lies in 1st or 4th quadrant, we get x = 2
When x = 2, 
(1) and (2) intersect in 
Required Area = Area of the circle - area of circle interior to the parabola
