Higher Math 1st Paper MCQ-Dhaka Board-2022

1. If the circle $x^{2}+y^{2}=9$ and $x^{2}+y^{2}+6 x$ $+8 y+c=0$ touches each other externally, then what is the value of c?

2. $\lim _{x \rightarrow 0} \frac{e^{x}-1}{x}=?$

3. The straight line $x+y-2=0$ is -

i. parallel to $2 x+2 y+3=0$

ii. perpendicular distance is $\sqrt{2}$ unit from origin

iii. area of the triangle is 2 square unit which is bounded by the straight line in the stem

Which one is correct?

4. According to the information below and answer to the questions no. 18 and 19:

$x^{2}+y^{2}-3 x-4 y+5=0 \text { and } 3 x^{2}+3 y^{2}-6 x-$ $9 y-3=0$ are the equation of two circles.

What is the equation of common chord of the two circles?

5. Which one is the Cartesian co-ordinate of $\left(1,150^{\circ}\right)$ ?