The equation of the circle with centre on the x-axis, radius 4 and passing through the origin, is

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Solution

The correct option is C
As the circle passes through the origin and the centre lies on x-axis the centre of the circle is $(\pm 4, 0)$ and radius = 4.There the equation if the circle is $x^{2} + y^{2} \pm 8 x = 0$ .

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The equation of the circle with centre on the x-axis, radius 4 and passing through the origin, is

The correct option is C As the circle passes through the origin and the centre lies on x-axis the centre of the circle is (±4,0) and radius = 4.There the equation if the circle is x2+y2±8x=0.

The correct option is C
As the circle passes through the origin and the centre lies on x-axis the centre of the circle is $(\pm 4, 0)$ and radius = 4.There the equation if the circle is $x^{2} + y^{2} \pm 8 x = 0$ .