For the following questions, choose the correct answers from the codes (a), (b), (c) and (d) def... VIDEO
For the following questions, choose the correct answers from the codes (a), (b), (c) and (d) defined as follows.
(a) Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I
(b) Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I
(c) Statement I is true, Statement II is false
(d) Statement \( I \) is false, Statement II is true
\( f(x) \) is a polynomial of degree 3 passing through origin having local extrema at \( x=\pm a \).
Statement I Ratio of 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 origin.
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