Circle (x ^ { 2 } + y ^ { 2 } + 6 y = 0)touches. | MATH - EQUATIONS OF CIRCLE, GEOMETRICAL PROBLEMS REGARDING CIRCLE | SolveeIt | Solveeit

Today, August 23

Question

Circle $x ^ { 2 } + y ^ { 2 } + 6 y = 0$ touches.

A

y-axis at the origin

B

x-axis at the origin

C

x-axis at the point (3, 0)

D

The line $y + 3 = 0$

Answer

x-axis at the origin

Explanation

Solution

Centre is (0, –3) and $R = \sqrt { 0 ^ { 2 } + 9 + 0 } = 3$ .