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Quadratic Equation question bank (Mathematics)

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Q1.

With usual notations in $\triangle \mathrm{ABC}$, if $\angle \mathrm{B}=\frac{\pi}{2}$, and $\tan \frac{\mathrm{A}}{2}, \tan \frac{\mathrm{C}}{2}$ are roots of equation $\mathrm{p} x^2+\mathrm{q} x+\mathrm{r}=0$, $\mathrm{p} \neq 0$, then

(A)

$\mathrm{p}+\mathrm{q}=\mathrm{r}$

(B)

$r+p=q$

(C)

$r=p$

(D)

$\mathrm{p}=\mathrm{q}$

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Q2.

If $x=-2+\sqrt{-3}$, then the value of $2 x^4+5 x^3+7 x^2-x+38$ is equal to

(A)

$1$

(B)

$-2$

(C)

$3$

(D)

$5$

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