Higher Math 2nd Paper CQ-Jessore Board-2017

For what values of $x$ the expansion $(3-2 x)^{\frac{1}{2}}$ is valid?

With the help of the scenario-1, find the equation whose roots are $\frac{3}{5 \alpha}, \frac{3}{5 \beta}$.

Find the co-efficient of $x^{3}$ of the expansion given in the scenario-2.

Prove that $\tan ^{-1}(\cot 3 x)+\tan ^{-1}(-\cot 5 x)=2 x$.

From scenario-1, prove that, $\theta=\frac{1}{2} \sin ^{-1} \frac{5}{\sqrt{34}}$.

Find the general solution of the equation given in the scenario-2.

Find the eccentricity of $3 x^{2}+5 y^{2}=1$.

Obtain the equation of the parabola from the scenario-1.

Obtain the equation of the hyperbola from the scenario-2.

Starting from $s$ static point a particle moves to the acceleration of speed 2 metre $/ \mathrm{sec}^{2}$. What distance will it overcome at 3rd second?

According to the scenario-1, what distance the biker will catch the horse rider?

According to the scenario-2, what distance from the foot of the pillar where the object strikes the ground?

The forces $4 \mathrm{~N}$ and $2 \sqrt{3} \mathrm{~N}$ act at a point at angle $30^{\circ}$ to each other. Find sum of the resolved parts of the forces along the line of action of $4 \mathrm{~N}$.

Find the value of the forces from the Scenario-1.

In scenario-2, if each force is increased by $4 \mathrm{~N}$ then what will be the displacement of point of action of the resultant?