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), 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

If from the origin a chord is drawn to the circle x^(2)+y^(2)-2x=0 , then the locus of the mid point of the chord has equation

From the origin, chords are drawn to the circle (x-1)^2 + y^2 = 1 . The equation of the locus of the mid-points of these chords

If tangents are drawn to the ellipse 2x^(2) + 3y^(2) =6 , then the locus of the mid-point of the intercept made by the tangents between the co-ordinate axes is

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

Find the mid point of the chord intercepted by the circle x^(2)+y^(2)-2x-10y+1=0 on the line x-2y+7=0

P is a point on the circle x^(2) + y^(2) = c^(2) . The locus of the mid-points of chords of contact of P with respect to x^(2)/a^(2) + y^(2)/b^(2) = 1, is

Show that, whatever be the value of a, the lines x cos a + y sin ct = a and x sin ct - y cos a = a are tangents to the circle x^(2) + y^(2) =-a^(2) . Hence obtain the locus of the points from which perpendicular tangents can be drawn to the circle x^(2) + y^(2) =a^(2 )

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is