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If the point (1+\cos \theta, \sin \theta) lies between the region corresponding to the acute angle between the lines 3 \mathrm{y}=\mathrm{x} and 6 \mathrm{y}=\mathrm{x} then

Option: 1

\mathrm{\theta \in R}


Option: 2

\theta \in R-n \pi, n \in I


Option: 3

\theta \in R-(2 n+1) \frac{\pi}{2}, n \in I


Option: 4

 none of these


Answers (1)

best_answer

Slope of OP should lie between \frac{1}{6} and \frac{1}{3}

\frac{1}{6}<\frac{\sin \theta}{1+\cos \theta}<\frac{1}{3}


Hence (D) is the correct answer.

Posted by

Ritika Kankaria

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