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
and line x - 2y + 8 = 0,
we get
x2 = 4(x + 8)
⇒ x = 8, - 4
∴ Shaded region
=
= 60 -
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