QJEEM19Mad572: JEE Main 2019 Mathematics - Class 12 JEEM19Mad572 Solution: The area (in sq. units) of the region bounded by the curve x 2…

Question

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The area (in sq. units) of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is :

Accepted Answer

x = 4y

-

2 & x² = 4y

\Rightarrow

x² = x + 2

\Rightarrow

x²

-

x

-

2 = 0

x = 2,

-

1

So,

\int_{- 1}^{2} (\frac{x + 2}{4} - \frac{x^{2}}{4}) d x = \frac{9}{8}

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