The equation of the circle having centre on the line x+y=1 and touching the lines 3x-4y+2=0, 4x+3y+7= 0 is

The equation of the circle passing through the points (4, 1), (6, 5) and having the centre on line 4x+y-16=0 is

From any point on the circle x²+y²+2gx+2fy+c=0 tangents are drawn to the circle x²+y²+2gx+2fy+c sin²α+(g²+f²) 13cos² α =0

The area of the triangle formed by the positive x-axis and the tangent and the normal at (1, √3) to the circle x²+y²=4 is

The locus of the points from which the lengths of the tangents to the two circles x² + y² + 4x + 3 = 0, x² + y²-6x +5 = 0 are in the ratio 2 : 3 is a circle with centre

The equation to the line joining the centers of the circles belonging to the coaxial system of Circles 4x²-4y²-12x+ 6y-3+λ(x+2y-6)=0 is

x²+y²-4x-6y+9=0 and (x+3)²+(y+2)²=25 are two circles. The line x=2 is a

The equation of the circle passing through the point (1, -2) and having its centre on the line 2x-y-14=0 and touching the line4x+3y-23=0 is

The equation to the pair of tangents drawn from (3, 2) to the circle x²+y²-6x+4y-2=0 is

The equation of one tangent to the circle with Centre(2,-1) from the origin is 3x + y = 0, then the equation of the other tangent through the origin is