WBJEE · Maths · Complex Number
The polar coordinate of a point \(P\) is \(\left(2,-\frac{\pi} {4}\right)\) The polar coordinate of the point \(Q\) which is such that line joining \(P Q\) is bisected perpendicularly by the initial line, is
- A \(\left(2, \frac{\pi}{4}\right)\)
- B \(\left(2, \frac{\pi}{6}\right)\)
- C \(\left(-2, \frac{\pi}{4}\right)\)
- D \(\left(-2, \frac{\pi}{6}\right)\)
Answer & Solution
Correct Answer
(A) \(\left(2, \frac{\pi}{4}\right)\)
Step-by-step Solution
Detailed explanation
Since, \(Q\) is the point for which \(P Q\) is bisected perpendicularly by the initial line \((X\) -axis). Therefore, \(Q\) will be the image of \(P\) in \(X\) -axis \(\therefore\) Coordinates of \(Q\) is \((2, \pi / 4)\)
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