Higher Math 2nd Paper MCQ-Barishal Board-2021

1. Which is the value of $c$ when line $y=$ $3 x+c$ is the tangent to the ellipse $\frac{x^{2}}{5}$ $+\frac{y^{2}}{3}=1$ ?

2. What is the length of the conjugate axis of the hyperbola $\frac{x^{2}}{16}-\frac{y^{2}}{9}=1$ ?

3. Which one is the equation of directrix of the conic $x^{2}+3 y^{2}=3$ ?

4. Which one of the following nature the roots of the equation $x^{2}+x+1=0$ is-

5. What is the vertex of the hyperbola $4 y^{2}-9 x^{2}=36$ ?