Higher Math 1st Paper MCQ-Chittagong Board-2019

1. What is the value of $\lim _{x \rightarrow 0} \frac{\sin 4 x}{\tan 7 x}$ ?

2. $x^{2}+y^{2}-4 x-6 y=0$ circle-

i. passes through the origin

ii. which intercepts from $x$-axis cut off 4 units

iii. the circle intersects the $y$-axis at the point $(0,-6)$

Which one is correct?

3. If $2 \mathrm{AB}=\mathrm{BC}$, then $\sin \theta=$ ?

4. If $f(x)=x+3$, then what is the value of $f(-3))$ ?

5. If the radius of a car wheel is $20 \mathrm{~cm}$ and it rotates 10 times in a second, then-

i. Its circumference is $40 \pi \mathrm{cm}$

ii. It crosses $125.66 \mathrm{~cm}$ in one rotation

iii. Its velocity is $12.57 \mathrm{~m} / \mathrm{s}$

Which one is correct?