Circle and Syst...

The radius of the circle x² + y² + 4x + 6y + 13 = 0 is

If x - y + 1 = 0 meets the circle x² + y² + y - 1 = 0 at A and b, then the equation of the circle wit AB as diameter, is

Which of the following equations given circle ?

A point P moves in such a way that the ratio of its distance from two coplanar points is always a fixed numbeer (≠ 1). Then, its locus is a

The circles x² + y² + 4x - 4y + 4 = 0 touches

If a > 2b > 0, then positive value of m for which y = mx - b√(1 + m) is a common tangent x² + y² = b² and (x - a)² + y² = b², is

The equation of the two tangents from (-5, -4) to the circle x² + y² + 4x + 6y + 8 = 0 are

The length (in units) of tangent from point (5, 1) to the circle x² + y² + 6x - 4y - 3 = 0 is

Circle ax² + ay² + 2gx + 2fy + c = 0 touches X - axis, if

The equation of normal of x² + y² - 2x + 4y - 5 = 0 at (2, 1) is