Through a fixed point (h,k), secant are drawn to the circle `x^(2)+y^(2)=r^(2)`. Show that the locus of the midpoints of the secants by the circle is `x^(2)+y^(2)=hx+ky`.

Through a fixed point (h,k) secants are drawn to the circle x^(2)+y^(2)=r^(2). Then the locus of the mid-points of the secants by the circle is

Through a fixed point (h, k) secants are drawn to the circle x^2 +y^2 = r^2 . Then the locus of the mid-points of the secants by the circle is

Through a fixed point (h, k) secants are drawn to the circle x^2 +y^2 = r^2 . Then the locus of the mid-points of the secants by the circle is

Through a fixed point (h, k) secants are drawn to the circle x^2 +y^2 = r^2 . Then the locus of the mid-points of the secants by the circle is

Through a fixed point (h, k) secants are drawn to the circle x^(2) + y^(2) =a^(2) . The locus of the mid points of the secants intercepted by the given circle is

Through a fixed point (h,k) secants are drawn to the circle x^(2)+y^(2)=r^(2) . Show that the locus of the mid points of the position of the secants intercepted by the circle is x^(2)+y^(2)=hx+ky .

Through a fixed point (h,k) secants are drawn to the circle x^(2)+y^(2)=r^(2) . Show that the locus of the mid points of the position of the secants intercepted by the circle is x^(2)+y^(2)=hx+ky .

From the origin chords are drawn to the circle x^(2)+y^(2)-2y=0 . The locus of the middle points of these chords is

Find the locus of the midpoint of the chords of circle x^(2)+y^(2)=a^(2) having fixed length l.

Find the locus of the midpoint of the chords of circle x^(2)+y^(2)=a^(2) having fixed length l.