First slide

Definition of a circle

Question

The centre of the circle $x = 2 + 3 \cos θ, y = 3 \sin θ - 1,$ is

Moderate

A

$(3, 3)$
B

$(2, - 1)$
C

$(- 2, 1)$
D

$(- 1, 2)$

Solution

We have,
$x = 2 + 3 \cos θ$ and $y = 3 \sin θ - 1 \Rightarrow (x - 2)^{2} + (y + 1)^{2} = 3^{2}$
Clearly, it is the equation of a circle having its centre at $(2, - 1) .$

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