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4-2.Quadratic Equations and Inequations question bank (Mathematics)

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Q1.

Let $2 \sin^2 x + 3 \sin x - 2 \gt 0$ and $x^2 - x - 2 \lt 0$ ($x$ is measured in radians). Then $x$ lies in the interval

(A)

$(\frac{\pi}{6}, \frac{5 \pi}{6})$

(B)

$(-1, \frac{5 \pi}{6})$

(C)

$(-1, 2)$

(D)

$(\frac{\pi}{6}, 2)$

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Q2.

If the Arithmetic Mean ($A$.$M$.) and Geometric Mean ($G$.$M$.) of the roots of a quadratic equation in $x$ are $p$ and $q$ respectively,then the equation is:

(A)

$x^{2}+2px+q^{2}=0$

(B)

$x^{2}+px+q^{2}=0$

(C)

$x^{2}-px+q^{2}=0$

(D)

$x^{2}-2px+q^{2}=0$

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