The coordinates of middle point of the chord 2x-5y+18=0 cut of by the circle
`x^2+y^2-6x+2y-54=0` is

The length of the chord cut off by y=2x+1 from the circle x^2+y^2=2 is

Find the locus of the mid points of the chords of the circle x^2 + y^2 -2x -6y - 10 = 0 which pass through the origin.

Find the coordinates of points equidistant from the axes and lying on the circle x^(2) + y^(2) - 6x - 2y + 6 = 0 .

Find the coordinates of the centre and the length of radius of the circle 5x^(2)+5y^(2)-8x+6y - 15 = 0

Find the length of the chord intercepted by the circle x^2+y^2-6x+8y-5=0 on the line 2x-y=5.

Find the middle point of the chord of the circle x^2+y^2=25 intercepted on the line x-2y=2

The equation of the locus of the middle point of a chord of the circle x^2+y^2=2(x+y) such that the pair of lines joining the origin to the point of intersection of the chord and the circle are equally inclined to the x-axis is (a) x+y=2 (b) x-y=2 (c) 2x-y=1 (d) none of these

The locus of the mid-points of the chords of the circle x^(2)+y^(2)+2x-2y-2=0 which make an angle of 90^(@) at the centre is

Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2y=0 , which makes an angle of 120^0 at the center.

The points of intersection of the line 4x-3y-10=0 and the circle x^2+y^2-2x+4y-20=0 are ________ and ________