Higher Math 2nd Paper MCQ-Cumilla Board-2021

1. Which is the conic having no centre?

2. Three forces $5 \mathrm{~N}, 7 \mathrm{~N}$ and $8 \mathrm{~N}$ acting at a point in different lines in equilibrium. What is the angle between the forces $8 \mathrm{~N}$ and $5 \mathrm{~N}$ ?

3. $\frac{(x-2)^{2}}{2}+\frac{(y-1)^{2}}{8}=1$ is an equation of ellipse.

The foci of the ellipse is-

4. Two parallel forces $18 \mathrm{~N}$ and $12 \mathrm{~N}$ acting at the point $A$ and $B$ respectively and resultant acts the point $C$ where $A B=15$ metres -

i. if the forces are unlike then the magnitude of their resultant is $6 \mathrm{~N}$.

ii. if the forces are like then $\mathrm{BC}=9$ metres

iii. if the forces are unlike then $A C=$ 30 metres

Which one of the following is correct?

5. For the inverse trigonometric function-

i. domain of $\sin ^{-1} x$ is $[-1,1]$

ii. range of $\cos ^{-1} \mathrm{x}$ is $[0, \pi]$

iii. $\tan ^{-1} x$ is a ratio

Which one of the following is correct?