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Question
Write the number of points of intersection of the curves
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Solution
Given:
2y = -1`=>`y = -`1/2`
\[cosecx = y\]
\[ \Rightarrow cosecx = - \frac{1}{2}\]
\[ \Rightarrow \frac{1}{\sin x} = - \frac{1}{2}\]
\[ \Rightarrow \sin x = - 2\]
The value of sine function lies between - 1 and 1. Therefore, the two curves will not intersect at any point.
Hence, the number of points of intersection of the curves is 0.
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