First slide

Definition of a circle

Question

Equation of the circle through the origin and making intercepts of $3$ and $4$ on the positive sides of the axes is

Moderate

A

$x^{2} + y^{2} + 3 x + 4 y = 0$
B

$x^{2} + y^{2} - 3 x - 4 y = 0$
C

$x^{2} + y^{2} + 3 x - 4 y = 0$
D

$x^{2} + y^{2} - 3 x + 4 y = 0$

Solution

The circle passes through $(0, 0), (3, 0)$ and $(0, 4) .$ So, its equation is $x^{2} + y^{2} - 3 x - 4 y = 0$

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