If \( \alpha \) and \( \beta \) are distinct roots of the equation ...

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If \( \alpha \) and \( \beta \) are distinct roots of the equation a \( \cos \theta+ \) \( b \sin \theta=c \), then \( \cos (\alpha+\beta)= \)
\( \mathrm{P} \)
W)
(a) \( \frac{2 \mathrm{ab}}{\mathrm{a}^{2}+\mathrm{b}^{2}} \)
(b) \( \frac{2 \mathrm{ab}}{\mathrm{a}^{2}-\mathrm{b}^{2}} \)
(c) \( \frac{a^{2}-b^{2}}{a^{2}+b^{2}} \)
(d) \( \frac{\mathrm{a}^{2}+\mathrm{b}^{2}}{\mathrm{a}^{2}-\mathrm{b}^{2}} \)
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