First slide

Definition of a circle

Question

ABCD is a square whose side is a. The equation of the circle circumscribing the square, taking AB and AD as axes of reference, is

Moderate

A

$x^{2} + y^{2} + a x + a y = 0$
B

$x^{2} + y^{2} + a x - a y = 0$
C

$x^{2} + y^{2} - a x - a y = 0$
D

$x^{2} + y^{2} - a x + a y = 0$

Solution

The circle passes through (0, 0), (a, 0), (0, a) and $(a, a)$
Hence , the required equation is $x^{2} + y^{2} - a x - a y = 0$

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