MCQ
The number of points in $(-\infty, \infty)$, for which $x^2-x \sin x-\cos x=0$, is
- A$6$
- B$4$
- ✓$2$
- D$0$
$f(x)=x^2 $
$g(x)=x \sin x+\cos x $
$g^{\prime}(x)=\sin x+x \cos x-\sin x $
$g^{\prime}(x)=x \cos x$
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Let $\mathrm{A}_{\mathrm{k}}=\mathrm{a}_1{ }^2-\mathrm{a}_2{ }^2+\mathrm{a}_3{ }^2-\mathrm{a}_4{ }^2+\ldots+\mathrm{a}_{2 \mathrm{k}-1}{ }^2-\mathrm{a}_{2 \mathrm{k}}{ }^2$.
If $\mathrm{A}_3=-153, \mathrm{~A}_5=-435$ and $\mathrm{a}_1{ }^2+\mathrm{a}_2{ }^2+\mathrm{a}_3{ }^2=66$, then $\mathrm{a}_{17}-\mathrm{A}_7$ is equal to....................