Question

In the co-axial system of circle$x ^ { 2 } + y ^ { 2 } + 2 g x + c = 0$ where g is a parameter, if c> 0. Then the circles are

• A. Orthogonal
• B. Touching type
• C. Intersecting type
• D. Non intersecting type

Answer 1

Answer: (D)

Non intersecting type

Answer 2

The equation of a system of circle with its centre on the axis of x is $x ^ { 2 } + y ^ { 2 } + 2 g x + c = 0$. Any point on the radical axis is $\left( 0 , y _ { 1 } \right)$

Putting, x = 0, $y = \pm \sqrt { - c }$

If c is positive (c >0), we have no real point on radical axis, then circles are said to be non-intersecting type