Let (sin⁡a)x2+(sin⁡a)x+1−cos⁡a=0 The set of values of a for which roots of this equation are real and distinct, is

# Let $\left(\mathrm{sin}\mathrm{a}\right){\mathrm{x}}^{2}+\left(\mathrm{sin}\mathrm{a}\right)\mathrm{x}+1-\mathrm{cos}\mathrm{a}=0$ The set of values of a for which roots of this equation are real and distinct, is

1. A

2. B

$\left(0,\frac{2\pi }{3}\right)$

3. C

4. D

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### Solution:

The roots of the given equation will be real and distinct, iff

Hence, option (a) is correct.

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