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  • Choose the correct answer in the following. Area of the region bounded by the curve y^2 = 4x, y-axis and the line y = 3 is (A) 2 (B) 9/4 (C) 9/3 (D) 9/2

Q : 13 Choose the correct answer in the following.

Area of the region bounded by the curve \small y^2=4x, \small y-axis and the line \small y=3  is

(A) \small 2                (B)  \small \frac{9}{4}                (C) \small \frac{9}{3}                (D) \small \frac{9}{2}

Answers (1)

best_answer

The area bounded by the curve y^2=4x and y =3 


the required area = OAB = 

 \\\int ^3_0xdy\\ =\int ^3_0\frac{y^2}{4}dy\\ =\frac{1}{4}.[\frac{y^3}{3}]^3_0\\ =\frac{9}{4}

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manish

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