Coordinate Geometry-1

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Write the polar coordinates of the point (2,2).

Solution: y/x = 2/2 = 1 = tan Θ i.e. Θ = 45⁰

r² = x² + y² = 2² + 2² = 8

Therefore, r = √8 = 2 √2

Polar coordinates of a point are given by (r, Θ)

Therefore, Polar coordinates of (2,2) are (2√2, 45⁰)