From the points (3, 4), chords are drawn to the circle `x^2+y^2-4x=0` . The locus of the midpoints of the chords is (a) `x^2+y^2-5x-4y+6=0` (b)`x^2+y^2+5x-4y+6=0` (c)`x^2+y^2-5x+4y+6=0` (d)`x^2+y^2-5x-4y-6=0`

Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 parallel to y = 2x.

Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of the circle x^2 + y^2 - 8x-6y+23=0

The equation of the chord of the circle x^(2)+y^(2)-4x+6y-3=0 having (1,-2) as it midpoint is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

Find the equation of the radical axis of the following circles. x^2+y^2-2x-4y-1=0 x^2+y^2-4x-6y+5=0

Find the length of chord cut on x-axis from the circle x^(2)+y^(2)-5x-2y+6=0 .

The slope of the radical axis of the circles x^2+y^2+3x+4y-5=0 and x^2+y^2-5x+5y+6=0 is

The equation of the circle passing through the point of intersection of the circle x^2+y^2=4 and the line 2x+y=1 and having minimum possible radius is (a) 5x^2+5y^2+18 x+6y-5=0 (b) 5x^2+5y^2+9x+8y-15=0 (c) 5x^2+5y^2+4x+9y-5=0 (c) 5x^2+5y^2-4x-2y-18=0

The shortest distance of (-5,4) to the circle x^(2)+y^(2)-6x+4y-12=0 is

Find the angle of intersection of the circles x^2+y^2-6x+4y+11=0andx^2+y^2-4x+6y+9=0