Higher Math 2nd Paper MCQ-Rajshahi Board-2017

1. $16 x^{2}-9 y^{2}+144=0$ is an equation of a conic.

What is the length of the latus rectum of the conic?

2. If $a, b$ and $c$ are three roots of the equation $m x^{3}-n x+3=0$, which one is the value of $a b+b c+c a$ ?

3. If $\sin ^{-1}\left(\frac{2}{\sqrt{5}}\right)+\tan ^{-1} x=\frac{\pi}{2}$, what is the value of $x$ ?

4. A box contains 5 blue, 3 red and 4 black balls. A ball is drawn at random. The probability of the ball-

i. not to be blue is $\frac{5}{12}$

ii. to be red is $\frac{1}{4}$

iii. to be blue or red is $\frac{2}{3}$

Which one is correct?

5. From rest a particle falls freely vertically down ward from the height $2 \mathrm{~m}$. The time reaching to the ground in second is-