Higher Math 2nd Paper MCQ-Rajshahi Board-2019

1. If $A$ and $B$ are two independent events and $P(A \cap B)=P(A) \cdot P(B)$,then the cvents are -

2. If a dice is thrown then what is the probability of getting the prime number?

3. $\frac{x^{2}}{9}-\frac{y^{2}}{16}=1$ is an equation of conic.

For the conic -

i. equation of asymptote is $y= \pm \frac{3}{4} x$

ii. equation of directrices is $5 x \pm 9=0$

iii. parametric equation is $x=3 \sec \theta, y=$ $4 \tan \theta$

Which one of the following is correct?

4. $y=a x^{2}+b x+c(a \neq 0)$ is an equation of $a$ parabola.

If the parabola touches $x$-axis then the roots of the equation $a x^{2}+b x+c=0$ are -

5. What is the maximum value of $z=4 x+$ 3y under the conditions $2 x+y \leq 8,2 x+$ $3 y \leq 12, x \geq 0, y \geq 0$ ?