If a curve is given by \( x=a \cos t+\frac{b}{2} \cos 2 t \) and \( y=a \sin t+\frac{b}{2} \sin ....

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If a curve is given by \( x=a \cos t+\frac{b}{2} \cos 2 t \) and
\( \mathrm{P} \)
\( y=a \sin t+\frac{b}{2} \sin 2 t \), then the points for which \( \frac{d^{2} y}{d x^{2}}=0 \) are given by
(1) \( \sin t=\frac{2 a^{2}+b^{2}}{3 a b} \)
(2) \( \cos t=-\frac{a^{2}+2 b^{2}}{3 a b} \)
(3) \( \tan t=\frac{a}{b} \)
(4) none of these


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