Circle And System Of Circles Question 155

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

Options:

A) $ x^{2}+y^{2}+4x=0 $

B) $ x^{2}+y^{2}-8y=0 $

C) $ x^{2}+y^{2}\pm 8x=0 $

D) $ x^{2}+y^{2}+8y=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

As the centre may be $ (\pm 4,\ 0) $ and radius = 4.