Higher Math 2nd Paper MCQ-Dinajpur Board-2022

1. Two forces of same magnitude $P$ acting at a point have also the resultant equal to $P$. What is the ange between the line of action of the forces?

2. If a projectile has horizontal range $R$, time of flight $T$, maximum height $H$ and angle of projection $\alpha$, then -

i. $\mathrm{R}=4 \mathrm{H} \cos \alpha$

ii. $\mathrm{H}=\frac{\mathrm{gT}}{8}$

ii. $\alpha=\tan ^{-1}\left(\frac{g T^{2}}{2 R}\right)$

Which one is correct?

3. What is the eccentricity of the conic $x^{2}$ $=16 \mathrm{y}$ ?

4. A train moving with velocity $30 \mathrm{~ms}^{-1}$ creates retardation of $5 \mathrm{~ms}^{-2}$ applying brake. What distance will it achteve in $4^{\mathrm{th}}$ second?

5. $\cot \theta=k$, the solution is $\theta=n \pi+\alpha$

If $k=\frac{1}{\sqrt{3}}$, then $\alpha=$ ?