JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

If $α$ and $β$ are the roots of the quadratic equation, x² + x sin $θ$ – 2sin $θ$ = 0, $θ \in (0, \frac{π}{2}),$ then $\frac{α ^{12} + β ^{12}}{( α ^{- 12} + β ^{- 12} ) . ( α - β ) ^{24}}$ is equal to:

A
$\frac{2 ^{12}}{( sin θ - 8 ) ^{6}}$
B
$\frac{2 ^{12}}{( sin θ - 4 ) ^{12}}$
C
$\frac{2 ^{6}}{( sin θ + 8 ) ^{12}}$
D
$\frac{2 ^{12}}{( sin θ + 8 ) ^{12}}$

Solution

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