Higher Math 1st Paper MCQ-Sylhet Board-2022

1. Answer the questions no. 22 and 23 with the help of stem below:

The circle $x^{2}+y^{2}-4 x-6 y+c=0$ touches the $y$-axis.

What is the point of contact?

2. The value of $\theta$ is -

3. Answer the questions no. 22 and 23 with the help of stem below:

The circle $x^{2}+y^{2}-4 x-6 y+c=0$ touches the $y$-axis.

What is the value of $c$ ?

4. At the point of the curve $(1,7)$ is $y=x^{3}$ $+2 x^{2}+4-$

i. slope of the tangent 7

ii. equation of the tangent $7 x-y+5=$ 0

iii. equation of the normal $x+7 y=50$

Which one is correct?

5. The distance between the straight lines $5 x+3 y-7=0$ and $15 x+9 y+14=0 \mathrm{~is}-$