Find the equations to the common tangents to the two hyperbolas `(x^2)/(a^2)-(y^2)/(b^2)=1` and `(y^2)/(a^2)-(x^2)/(b^2)=1`

Find the equation of the two tangents from the point (1,2) to the hyperbola 2x^(2)-3y^2=6

The equations of the common tangents to the parabola y = x^2 and y=-(x-2)^2 is/are :

Find the equation of the common tangent of y^2=4a x and x^2=4a ydot

Find the value of m for which y=m x+6 is tangent to the hyperbola (x^2)/(100)-(y^2)/(49)=1

For the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 and (x^(2))/(b^(2))+(y^(2))/(a^(2)) =1

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x_(0), y_(0)).

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

Find the equations of the tangents to the hyperbola x^2=9y^2=9 that are drawn from (3, 2).

If any line perpendicular to the transverse axis cuts the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 and the conjugate hyperbola (x^2)/(a^2)-(y^2)/(b^2)=-1 at points Pa n dQ , respectively, then prove that normal at Pa n dQ meet on the x-axis.

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