Find the equation of the chord of the circle `x^2+y^2=9` whose middle point is `(1,-2)`

Find the length of the chord of the ellipse x^2/25+y^2/16=1 , whose middle point is (1/2,2/5) .

Find the equation of the chord of the circle x^2+y^2=a^2 passing through the point (2, 3) farthest from the center.

Find the equation of the normal to the circle x^2+y^2=9 at the point (1/(sqrt(2)),1/(sqrt(2)))

Find the equation of the normal to the circle x^(2)+y^(2)=9 at the point (1//sqrt(2), 1// sqrt(2)) .

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

Find the equation of the normals to the circle x^2+y^2-8x-2y+12=0 at the point whose ordinate is -1

Find the equation of the chord of the hyperbola 25 x^2-16 y^2=400 which is bisected at the point (5, 3).

Find the equation of chord of the circle x^(2)+y^(2)-2x-4y-4=0 passing through the point (2,3) which has shortest length.

The equation of chord AB of the circle x^2+y^2=r^2 passing through the point P(1,1) such that (PB)/(PA)=(sqrt2+r)/(sqrt2-r) , (0ltrltsqrt(2))

Find the equations of the tangent and normal to the circle x^(2)+y^(2)=169 at the point (5,12) .