Question

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

• A. $x ^ { 2 } + y ^ { 2 } + 4 x = 0$
• B. $x ^ { 2 } + y ^ { 2 } - 8 y = 0$
• C. $x ^ { 2 } + y ^ { 2 } \pm 8 x = 0$
• D. $x ^ { 2 } + y ^ { 2 } + 8 y = 0$

Answer 1

Answer: (C)

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

Answer 2

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