Higher Math 2nd Paper MCQ-Dhaka Board-2021

1. If $2 \tan ^{-1} \sqrt{2}=\theta$, then -

i. $\tan \frac{\theta}{2}=\sqrt{2}$

ii. $\cot \theta=-\frac{1}{2 \sqrt{2}}$

iii. $\sin \theta=\frac{2 \sqrt{2}}{3}$

Which one is correct?

2. In which the equation of the root is $-i+2$ ?

3. If $x=\operatorname{sincos}^{-1} y$, what is the value of $x^{2}$ $+y^{2} ?$

4. The resultant $R$ of the forces $P$ and $Q$ is acting at a point and makes an angle $30^{\circ}$ and $60^{\circ}$ on the both sides. What is $\mathbf{P}: \mathbf{Q}$ ?

5. Which one is the length of transverse axis of the hyperbola $\frac{y^{2}}{2}-\frac{x^{2}}{3}=1$ ?