ParabolaHard

Question

The area bounded by the parabola x2 = 8y & the line x - 2y + 8 = 0 is -

Options

A.36
B.72
C.18
D.9

Solution

Solving parabola x2= 8y
and line x - 2y + 8 = 0,
we get
x2 = 4(x + 8)
⇒  x = 8, - 4
∴  Shaded region
= [8 + 2] × 12 -
= 60 -= 60 - 24 = 36

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