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`

The locus of the midde points ofchords of hyperbola 3x^2-2y^2+4x -6y=0 parallel to y=2x is

Let P be the point (1, 0) and Q be a point on the locus y^2=8x . The locus of the midpoint of P Q is (a) y^2+4x+2=0 (b) y^2-4x+2=0 (c) x^2-4y+2=0 (d) x^2+4y+2=0

The circle x^2 + y^2 - 3x - 4y + 2 = 0 cuts the x axis at the points

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthest and nearest to the point (-5,6)dot

Let P be the point on the parabola, y^2=8x which is at a minimum distance from the centre C of the circle, x^2+(y+6)^2=1. Then the equation of the circle, passing through C and having its centre at P is : (1) x^2+y^2-4x+8y+12=0 (2) x^2+y^2-x+4y-12=0 (3) x^2+y^2-x/4+2y-24=0 (4) x^2+y^2-4x+9y+18=0

Let P be any moving point on the circle x^2+y^2-2x=1. A B be the chord of contact of this point w.r.t. the circle x^2+y^2-2x=0 . The locus of the circumcenter of triangle C A B(C being the center of the circle) is 2x^2+2y^2-4x+1=0 x^2+y^2-4x+2=0 x^2+y^2-4x+1=0 2x^2+2y^2-4x+3=0