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Graph of Trigonometric Ratios

If cosα is a ...

Question

If cos $α$ is a root of $25 x^{2}$ + 5x - 12 = 0, (-1 $<$ x $<$ 0). Then a possible value of sin (2α) is

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Solution

The correct option is C
-

$c o s α = - \frac{4}{5}, t h e n s i n α = \pm \frac{3}{5}, t h e n s i n 2 α = \pm \frac{24}{25}$

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