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Question

The area bounded by the normal at (1,2) to the parabola y2=4x, x-axis and the curve is given by


A

103 sq. units

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B

73 sq. units

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C

43 sq. units

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D

13 sq. units

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Solution

The correct option is A

103 sq. units


Equation of normal to the given parabola at (1,2) is x+y=3

It meets x-axis at N(3,0)

QN=2, PQ=2

Required Area = area of ΔPQO + Area of ΔPQN

=104xdx+12×2×2=103



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