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Quadratic Equation and Inequalities question

2020 · 3 Sep · Shift 1 · Q23

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PYQ Library
JEE Main
Mathematics
Quadratic Equation and Inequalities
2020 · 3 Sep · Shift 1 · Q23

Quadratic Equation and Inequalities question

2020 · 3 Sep · Shift 1 · Q23

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

If

\alpha

and

\beta

are the roots of the equation x2 + px + 2 = 0 and

{1 \over \alpha }

and

{1 \over \beta }

are the roots of the equation 2x2 + 2qx + 1 = 0, then

\left( {\alpha - {1 \over \alpha }} \right)\left( {\beta - {1 \over \beta }} \right)\left( {\alpha + {1 \over \beta }} \right)\left( {\beta + {1 \over \alpha }} \right)

is equal to :

A
${9 \over 4}\left( {9 - {q^2}} \right)$
B
${9 \over 4}\left( {9 + {q^2}} \right)$
C
${9 \over 4}\left( {9 - {p^2}} \right)$
D
${9 \over 4}\left( {9 + {p^2}} \right)$

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