Higher Math 2nd Paper CQ-Chittagong Board-2019

Find the equation of the directrices of the ellipse $5 x^{2}+4 y^{2}=1.2$

Using scenario-1, find the coordinates of the foci, distance between their foci and length of the latus rectum.

From scenario-2, find the equation of MZM'.

$P(A)=\frac{1}{3}, P(B)=\frac{1}{6}$ if $A$ and $B$ are independent events. Then find $P(A / B)$.

Find the variance from the frequency distribution table maintained in the scenario-1.

From scenario-2, find the probability to getting at least 2 red balls.

Determine the argument of the complex number $-4-4 i$.

Using scenario-1, find the coefficient of $x^{n}$ in the expansion of $g(x)$.

Using scenario-2, if $m=9, n=2, s=-\frac{1}{3}(p+2)$ and one root of the given equation is square of the other. Then find the value of $p$.

Find the value of $\cot \left(\sin ^{-1} \frac{1}{\sqrt{5}}\right)$.

From scenario-2, if $g(\alpha)=0$ then show that, $\alpha= \pm \frac{1}{2} \sin ^{-1} \frac{3}{4}$,

Using scenario-1, if $f(a)=\alpha$ then prove that, $\sin \alpha=$ $\sqrt{a^{2}+b^{2}-2 a b \cos \alpha}$

Find the value of $\sqrt[3]{i}$.

With the help of the scenario-1, find the equation whose roots are $\mathrm{a}+\frac{1}{\mathrm{~b}}$ and $\mathrm{b}+\frac{1}{\mathrm{a}}$.

Show that the expansion of scenario- 2 the coefficient of the middle term is $\frac{1 \cdot 3.5 \cdots(2 n-1)}{n !} 6^{n} y^{n}$