The area common to the parabolas `y=2x^2` and `y=x^2+4` (in square units) is (A) `2/3` (B) `3/2` (C) `32/3` (D) `3/32`

Explanation

Correct option is C)

To Find the P.O.I of the parabolfor equating the equations `y=2 x^{2}` and `y=x^{2}+y`

we have


`2 x^{2}=x^{2}+4 `

`x^{2}=4 `

`x=pm 2 `

`y=8`

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