Higher Math 1st Paper MCQ-Rajshahi Board-2022

1. What is the equation of the normal of the curve $y=x^{3}-8 x^{2}+7$ at point $(1,1)$ ?

2. What is the length of the tangent of the circle $2 x^{2}+2 y^{2}-x+3 y+1=0$ at point $(1,1)$ ?

3. What is the value of $\int_{0}^{1} \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$ ?

4. What is the equation of tangent $y=$ $\sin ^{-1} \frac{x}{3}$ at origin?

5. Answer the questions no. 18 and 19 basis on the information given below:

The equations of the straight lines are $x+y=3$ and $x-y=3$.

What is the angle between two straight lines?