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

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

Find the equation of the normal to the curve x^(2) = 4y which passes through the point (1, 2).

Find the equation of tangents of the parabola y^2=12 x , which passes through the point (2, 5).

Find equation of the line parallel to the line 3x - 4y + 2 = 0 and passing through the point (-2, 3) .

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 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 circle passing through the points (1,-2),(2,-1),(3,1) .

Find the equation (s) of the circle passing through the points (1,1) and (2,2) and whose radius 1 .