Higher Math 2nd Paper CQ-Cumilla Board-2019

Show that, $(\ddot{\mathrm{l}}-\mathrm{x})^{3}=h(\mathrm{x})$ by the expansion of Pascal Triange law.

Find the expression of general solution for $x$ if $\mathrm{A}-\mathrm{B}=0$.

Calculate the value of middle term/terms in the expansion of $\{h(x)\}^{3}$.

Find out the square root of h(x) when x = i [i is an imaginary number]

Test the convergency of the series given in the stem.

Find the co-efficient of x' in the expansion of h(x).

Express -3 < g (x) < 7 with the help of absolute value notation.

Find out the centre and radius of the locus represented by | g(x)+2iy|=t

Find out the supremum and infimum of the set A

If a number is drawn at random from the set E = {0, 1, 2}, then find the probability that the number is the eccentricity of scenario-2.

Find out the equation of Conic described in scenario-1.

Find the equation of Conic described in scenario-2.

Under what condition the horizontal range will be maximum and find out its value if a projectile is projected with the velocity $9.8 \mathrm{~m} / \mathrm{s}$ at an angle $\alpha$ in upwards direction? $\left(\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)$

From what height did Sumon drop the tennis ball?

If the cricket ball projected at the velocity $60 \mathrm{ft} / \mathrm{sec}$, find the distance from the foot of the tower where from it strikes the ground.