MCQ
If $(\text{x}+\text{y})^2\frac{\text{dy}}{\text{dx}}=\text{a}^2,\text{y}=0$ when $x = 0,$ then $y = a$ if $\frac{\text{x}}{\text{a}}=$
- A$1$
- B$\tan1$
- C$\tan1+1$
- ✓$\tan1-1$
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$f(x)=\left\{\begin{array}{cc}x-[x] & \text { if }[x] \text { is odd } \\ 1+[x]-x & \text { if }[x] \text { is even }\end{array}\right.$
Then the value of $\frac{\pi^2}{10} \int_{-10}^{10} f(x) \cos \pi x d x$ is