Higher Math 2nd Paper CQ-Jessore Board-2019

Find the eccentricity of the hyperbola $y^{2}-2 x^{2}=2.2$

Determine the equation of the parabola whose vertex is $A$ and focus is $S$.

Determine the equation of the ellipse, whose foci are $S$ and $S^{\prime}$ and whose length of major axis is 2 .

If the roots of the equation $x^{2}-2 m x+8 m-15=0$ are real and equal then find the value of $\mathrm{m}$.

Show that the roots of the equation $q x^{2}+p x+1=0$ are $\frac{1}{u}$ and $\frac{1}{v}$.

Determine the quadratic equation whose one root is $\frac{1}{4}$ and another one is the real root of the second equation of the stem.

Determine the Suprimum of S = {x : x € R, − 9 < f(x) < 16}.

Solve the inequality $\frac{1}{f(x) \mid}>\frac{1}{9}, x \neq-\frac{1}{5}$ and show the solution set on the real line.

Determine the locus represented by the equation $|2 z+3|=$ $|3 z+1|$

A particle moving in a straight line with acceleration a describes $s$ distance. After time $t$ what is the distance described in the $t^{\text {th }}$ second?

From the stem prove that, $\frac{1}{x}+\frac{1}{y}=\frac{t^{2}}{2 s}$.

From the stem show that its horizontal range is $R=\frac{a+b}{a b}$.

How many terms are there in $\left(y^{2}-2+\frac{1}{y^{2}}\right)^{8}$

If $\mathrm{a}=1, \mathrm{~b}=-2$ then find the middle term of $\{f(x)\}^{2 \mathrm{~m}}$ where $\mathbf{m} \in \mathbb{N}$.

For $b=2$ if the first three terms of $\{f(x)\}^{m}$ are $k, \frac{10}{3} k x$ and $\frac{40}{9} k x^{2}$ then find the value of $a, k$ and $m$. then find the value of $\mathrm{a}, \mathrm{k}$ and $\mathrm{m}$.