41. Which of the following represents the graph of the polar curve \( r = 3\csc \theta \)?

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Answer is: option3

(C)

Solution:

\[ r = 3\csc\theta = \frac{3}{\sin\theta} \]

\[ r\sin\theta = 3 \]

Since in polar coordinates, \( y = r\sin\theta \), we have \( r = 3\csc\theta \) equivalent to \( y = 3 \).

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