NIMCET 2011 Mathematics Question 46 with Solution

Question 46

Mathematics Linear and Quadratic Equations Medium

The equation \( (\cos p-1) x^{2}+(\cos p) x+\sin p=0 \) where x is a variable has real roots. Then the interval of \( p \) is

(A) \( (0,2 \pi) \)

(B) \( (-\pi, 0) \)

(C) \( \left(\frac{-\pi}{2}, \frac{\pi}{2}\right) \)

(D) \( (0, \pi) \)

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Correct Solution: Option D

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