First slide

Definition of a circle

Question

The equation of the circle whose centre is
(2, - 3) and radius 5, is

Moderate

A

$x^{2} + y^{2} + 4 x - 6 y - 12 = 0$
B

$x^{2} + y^{2} - 4 x + 6 y - 12 = 0$
C

$x^{2} + y^{2} - 6 x + 4 y - 12 = 0$
D

none of these

Solution

The equation of the required circle is
$(x - 2)^{2} + (y + 3)^{2} = 5^{2} \Rightarrow x^{2} + y^{2} - 4 x + 6 y - 12 = 0$

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