Find the equation of tangent to the conic `x^2-y^2-8x+2y+11=0` at `(2,1)`

Find the equation of tangent to the circle x^(2) + y^(2) + 2x -3y -8 = 0 at (2,3)

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 equations of tangents to the circle x^2+y^2-22 x-4y+25=0 which are perpendicular to the line 5x+12 y+8=0

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.

Find the equations of tangent and normal to the curve y^(2)-4x-2y+5=0 at the point where it cuts the x-axis.

Find the equation of tangents to circle x^(2)+y^(2)-2x+4y-4=0 drawn from point P(2,3).

Find the equation of the tangent to the curve (1+x^2)y=2-x , where it crosses the x-axis.

Find the equation of the tangent to the curve (1+x^2)y=2-x , where it crosses the x-axis.

Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0 is of the form y=m(x-1)+3sqrt(1+m^2)-2.

Find the equations to the common tangents of the circles x^2+y^2-2x-6y+9=0 and x^2+y^2+6x-2y+1=0