Higher Math 2nd Paper CQ-Chittagong Board-2017

Find the periodic time of $\sin \frac{x}{3}$.

if $f(x)=\frac{\pi}{6}$, then prove that, $x+y+\sqrt{3} x y=\sqrt{3}$.

Find the general solution of stem-2.

Find the cube roots of unity.

From stem-I, find the equation of the locus.

From stem-2, solve the inequality and show them in the real lines.

Find the discriminant of the given equation.

Express the roots of $c\left(x^{2}+1\right)-\left(b^{2}-2 c\right) x=0$ in terms of $\alpha$ and $\beta$.

Find the equation whose roots are $\alpha+\frac{1}{\beta}$ and $\beta+\frac{1}{\alpha} \quad$

Find the eccentricity of the hyperbola $\frac{x^{2}}{4}-\frac{y^{2}}{9}=1 \text {. }$

If the vertex $A(1,-2)$; find the equation of the directrix $\mathrm{MZM}^{\prime}$

If $S P: P M=1: 2$ and the equation of $M Z M^{\prime}$ is $3 x+4 y=1$, then find the equation of the conic.

$(1-3 x)^{-1}$ Find the expansion of $(1-3 x)^{-1}$.

If the co-efficient of $(r+1)^{\text {th }}$ and $(r+2)^{\text {th }}$ terms of $f(x)$ be equal to each other, then find the value of $r$.

If $p=-8$ and $m=-\frac{1}{2}$ in $g(x)$, then show that, the co-efficient of $x^{r}$ is $\frac{(2 r) 2^{r}}{(r !)^{2}}$