Circle and Syst...

If (-3, 2) lies on the circle x² + y² + 2gx + 2fy + c = 0 which is concentric with the circle x² + y² + 6x + 8y - 5 = 0, then c is equal to

The condition for the coaxial system x² + y² + 2λx + c = 0, where λ is a parameter and c is a constant to have distinct limiting points, is

If the radical axis of the circles x² + y² + 2gx + 2fy + c = 0 and 2x² + 2y² + 3x + 8y + 2c = 0, touches the circle x² + y² + 2x + 2y + 1 = 0, then

The two circles x² + y² - 5 = 0 and x² + y² - 2x - 4y - 15 = 0

The two circles x² + y² - 2x + 6y + 6 = 0 and x² + y² - 5x + 6y + 15 = 0 touch each other

The circles x² + y² - 10x + 16 = 0 and x² + y² = r intersect each other at two distinct points, if

The radical axis of the coaxial system of circles with limiting points (1, 2) and (- 2,1) is

The number of common tangents to circles x² + y² + 2x + 8y - 23 = 0 and x² + y² - 4x - 10y + 9 = 0, is/are

If the circles x² + y² + 2gx + 2fy = 0 and x² + y² + 2g\'x + 2f \' y = 0 touch each other, than

If two circles of the same radius r and centres at (2. 3) and (5, 6) respectively cut orthogonally, then the value of r is