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The Cartesian coordinates of point havin...

The Cartesian coordinates of point having polar coordinates`(-2, (2pi)/3)`will be

A

`(1,sqrt(3))`

B

`(sqrt(3),1)`

C

`(1,-sqrt(3))`

D

`(-1,sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
`(-2,(2pi)/(3))`
`x = r cos theta` and `y = r sin theta`
`:. x =(-2) cos.(2pi)/(3)` and `y = (-2) sin.(2pi)/(3)`
`:. x =(-2) (-(1)/(2))` and `y =(-2) ((sqrt(3))/(2))`
`:. (1,-sqrt(3))`
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