[" 18.Find the equation to the locus of mid-points of chords drawn "],[" through the point "(0,4)" on the circle "x^(2)+y^(2)=16" ."]

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 locus of mid-point of chord of parabola y^(2)=4ax which touches the parabola x^(2)=4by

Find the equation of the chord of contact of the point (5, 1) to the hyperbola, x^(2) - 4y^(2) = 16 . Also find the mid-point of this chord.

Find the locus of mid-point of chords to the circle (x−3)^2+(y−2)^2=1 which pass through (3,7)

(i) Find the equation of that chord of the circle x^(2) + y^(2) = 15 , which is bisected at the point (3,2). (ii) Find the locus of mid-points of all chords of the circle x^(2) + y^(2) = 15 that pass through the point (3,4),

The locus of mid-point of the chord of circle x^2+y^2=16 , which are tangent to the hyperbola 9x^2-16y^2=144 , is

The equation of the locus of the mid-points of chords of the circle 4x^(2) + 4y^(2) -12x + 4y + 1 = 0 that substend an angle (2pi)/(3) at its centre, is

The equation of the locus of the mid-points of chords of the circle 4x^(2) + 4y^(2) -12x + 4y + 1 = 0 that substend an angle (2pi)/(3) at its centre, is

The equation of the locus of the mid-points of chords of the circle 4x^(2) + 4y^(2) -12x + 4y + 1 = 0 that substend an angle (2pi)/(3) at its centre, is

The locus of mid-points of the chords of the circle x^(2)-2x+y^(2)-2y+1=0 which are of unit length is :