JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Analyzing +4 | -1

Let

S=\left\{\begin{array}{c}x: x \in \mathbb{R} \text { and }(\sqrt{3}+\sqrt{2})^{x^{2}-4} +(\sqrt{3}-\sqrt{2})^{x^{2}-4}=10\end{array}\right\}

. Then

n(S)

is equal to

View answer and explanation

Correct option: D

Option B (4) is correct because solving the equation for x yields four distinct real solutions.

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{x^2} - px + q = 0

{\alpha _1},{\beta _1}

{x^2} - qx + p = 0,

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{x^2} + 4ax + 2 > 0

x

a

f\left( x \right) = a{x^2} + bx + c\;

\;f\left( { - 1} \right) < 1,f\left( 1 \right) > - 1,f\left( 3 \right) < - 4\;

\;a \ne 0,

9{x^2} - 18\left| x \right| + 5 = 0

f\left( x \right) = \log \left( {{x^2} - x - 2} \right)