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`

The equations (s) to common tangent (s) to the two hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 " and " y^(2)/a^(2) - x^(2)/b^(2) = 1 is /are

Length of common tangents to the hyperbolas x^2/a^2-y^2/b^2=1 and y^2/a^2-x^2/b^2=1 is

The slopes of the common tangents of the hyperbolas (x^(2))/(9)-(y^(2))/(16)=1 and (y^(2))/(9)-(x^(2))/(16)=1 , are

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 equation of the tangent to the curve (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,\ y_1) on it.

Find the equations of tangent and normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,y_1)

Find the equations of tangent and normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,y_1)

The equation of common tangent to the parabola y^2 =8x and hyperbola 3x^2 -y^2=3 is

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))/(a ^(2)) - (y ^(2))/( b ^(2)) = 1 are mutually perpendicular, show that the locus of P is the circle x ^(2) + y ^(2) =a ^(2) -b ^(2).