Higher Math 1st Paper MCQ-Sylhet Board-2021

1. What is the value of $\int \frac{d x}{2-3 x}$ ?

2. $\frac{d}{d x}\left(\ln \frac{1}{x}\right)=?$

3. What is the slope of the perpendicular line of $2 y-3 x+1=0$ ?

4. What is the area in sq. unit enclosed by first quadrant of the circle $x^{2}+y^{2}$ $=36 ?$

5. If $f(x)=-x^{2}-2 x+5$ then -

i. $f(x)$ is a decreasing function for $x<-1$

ii. the minimum value of $f(x)$ is 6

iii. $f^{\prime \prime}(0)=-2$

Which one is correct?