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Q.

The polar coordinates equivalent to (−3,3) are

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a

(23,π6)

b

(−23,5π6)

c

(23,7π6)

d

(23,5π6)

answer is D.

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Detailed Solution

r=x2+y2=9+3=23α=tan−1|y||x|α=tan−1(33)α=tan−1(13)=π6Point (−3,3) lies in the second quadrant. ∴θ=π−α=π-π6=5π6So, polar coordinates are (23,5π6)
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The polar coordinates equivalent to (−3,3) are