The locus of the midpoints of the chords drawn from the point M( 1, 8) to the circle `x^2 + y^2-6x-4y-11-0`, is equal to

Find the equation to the locus of mid-points of chords drawn through the point (a, 0) on the circle x^(2) + y^(2) = a^(2) .

Find the lengths of the tangents drawn from the point. (-1,1) to the circle x^(2)+y^(2)-2x+4y+1=0

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

The length of the chord of contact of the tangents drawn from the point (-2,3) to the circle x^2+y^2-4x-6y+12=0 is:

The locus of the midpoints of the chords which are drawn from the vertex of the parabola y^(2)=4 a x is

Find the locus of the midpoints of the all chords drawn from the ends points of the minor axis of an ellipse x^2/a^2+y^2/b^2=1

The locus of the mid-points of the chords of the circle x^2+ y^2-2x-4y - 11=0 which subtends an angle of 60^@ at center is