MCQ
Let $f(x)=\left\{\begin{array}{cc}-2, & -2 \leq x \leq 0 \\ x-2, & 0 < x \leq 2\end{array}\right.$ and $h(x)=f(|x|)+|f(x)|$. Then $\int_{-2}^2 \mathrm{~h}(\mathrm{x}) \mathrm{dx}$ is equal to :
- ✓$2$
- B$4$
- C$1$
- D$6$
$h(x)=\left\{\begin{array}{cc}x-2+2-x=0, & 0 \leq x \leq 2 \\ -x-2+2=-x & -2 \leq x<0\end{array}\right.$
$Image$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Match each entry in $List-I$ to the correct entry in $List-II$.
| $List-I$ | $List-II$ |
| ($P$) $\gamma$ equals | ($1$) $-\hat{i}-\hat{j}+\hat{k}$ |
| ($Q$) A possible choice for $\hat{n}$ is | ($2$) $\sqrt{\frac{3}{2}}$ |
| ($R$) $\overline{O R_1}$ equals | ($3$) $1$ |
| ($S$) A possible value of $\overline{O R_1} \cdot \hat{n}$ is | ($4$) $\frac{1}{\sqrt{6}} \hat{i}-\frac{2}{\sqrt{6}} \hat{j}+\frac{1}{\sqrt{6}} \hat{k}$ |
| ($5$) $\sqrt{\frac{2}{3}}$ |
The correct option is
| X: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| P(X): | 0.15 | 0.23 | 0.12 | 0.10 | 0.20 | 0.08 | 0.07 | 0.05 |