If \( y^{2}+\log _{\mathrm{c}}\left(\cos ^{2} x\right)=y, x \in\left(-\frac{\pi}{2}, \frac{\pi}{...

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If \( y^{2}+\log _{\mathrm{c}}\left(\cos ^{2} x\right)=y, x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \), then
[JEE Main-2020 (September)]
P
(1) \( \left|y^{\prime}(0)\right|+\left|y^{\prime \prime}(0)\right|=3 \)
W
(2) \( \left|y^{\prime}(0)\right|+\left|y^{\prime \prime}(0)\right|=1 \)
(3) \( y^{\prime \prime}(0)=0 \)
(4) \( \left|y^{\prime \prime}(0)\right|=2 \)
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