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f(x) is a polynomial of degree 3 passing...

f(x) is a polynomial of degree 3 passing through the origin having local extrema at ` x=+- 2`
Statement-I: Ratio of the areas in which f(x) cuts the circle `x^(2) +y^(2) =36 ` is 1: 1
Statement-II Both `y= f(x) `and the circle are symmetric about the origin

A

Statement -I is True statement -II is a correct explanation for statement-I

B

Statement -I is true ,Statement-II is not True explanation for Statement-I

C

Statement -I is True Statement-II is False

D

Statement -I is False,Statement -II is True

Text Solution

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The correct Answer is:
A
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