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Question
Area of the region bounded by the curve `y^2 = 4x`, `y`-axis and the line `y` = 3 is:
Options
2
`9/4`
`9/3`
`9/2`
MCQ
Solution
`9/4`
Explanation:
The curve `y^2 = 4x` is the parabola MP is the line `y` = 3.
The area of the region bounced by `y^2 = 4x` and `y` = 3 is
`(y^2 = 4x : x = y^2/4)`
A = `int_0^3 x dy`
= `int_0^3 y^2/4 dy = [y^3/1^2]_0^3 = 27/12 = 9/4`
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