Higher Math 2nd Paper MCQ-Dinajpur Board-2019

1. Equation of the conic is $7 x^{2}+16 y^{2}=112$.

Focus of the conic is -

2. For what values of $p$, the roots will be equal of the equations $x^{2}-8 x+p=0$ ?

3. What is the equation of directrices of the parabola $x^{2}-4 y=0$ ?

4. A train starts with velocity $25 \mathrm{~km} / \mathrm{hr}$ passes over $150 \mathrm{~km}$, the velocity will be $60 \mathrm{~km} / \mathrm{hr}$.

What is the acceleration of the train?

5. Respect to the constraints $x+y \leq 9,3 x$ $+4 y \leq 30, x \geq 0$ and $y \geq 0$ -

i. Feasible solution region of angular point $(0,0),(9,0),\left(0, \frac{15}{2}\right),(6,3)$

ii. Maximize value of $2 x+5 y=27$

iii. Minimize value of $x-2 y=-15$

Which one is correct?