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Question

If the Cartesian coordinates of a point are (3,3), then the polar coordinates are

A
(23,5π6)
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B
(3,7π6)
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C
(23,7π6)
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D
(23,π6)
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Solution

The correct option is C (23,7π6)
Given Cartesian coordinates are (3,3).
We know that
x=rcosθ, y=rsinθr=x2+y2r=(3)2+(3)2=23
And
3=23cosθ, 3=23sinθcosθ=32, sinθ=12
As the point is in third quadrant,
θ=π+π6=7π6

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