MCQ
Three integers are chosen at random from the first 20 integers. The probability that their product is even is:
- A$\frac{2}{19}$
- B$\frac{3}{29}$
- ✓$\frac{17}{19}$
- D$\frac{4}{19}$
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 entries in List-$II$.
| List-$I$ | List-$II$ |
| ($P$) $|z|^2$ is equal to | ($1$) $12$ |
| ($Q$) $|z-\bar{z}|^2$ is equal to | ($2$) $4$ |
| ($R$) $|z|^2+|z+\bar{z}|^2$ is equal to | ($3$) $8$ |
| ($S$) $|z+1|^2$ is equal to | ($4$) $10$ |
| ($5$) $7$ |
The correct option is:
Statement $1:$ The image of the point $(0, 1)$ in $L$ is the point $\left( {\frac{4}{5},\frac{3}{5}} \right).$
Statement $2:$ The points $(0, 1)$ and $\left( {\frac{4}{5},\frac{3}{5}} \right)$ lie on opposite sides of the line $L$ and are at equal distance from it.