Show that the line `3x-4y+10=0` is tangent to the hyperbola `x^2-4y^2=20`. Also find the point of contact.

Solve the following:Show that the line 3x-4y+15=0 is a tangent to the circle x^2+y^2=9 ,Find the point of contact.

Answer the following:Show that the line 2x+y+6=0 is a tangent to the circle, x^2+y^2+2x-2y-3=0 .Find its point of contact.

Show that the line x-y=5 is a tangent to the ellipse 9x^2+16y^2=144 . Find the point of contact.

If the line 3x-4y=k touches the hyperbola x^2/5-(4y^2)/5=1 , then find the value of k.

If the line y=mx+c be a tangent to the circle x^2+y^2=a^2 , then the point of contact is

Find the equation of the tangent to the hyperbola: 3x^2-y^2=12 at the point (4,3)

The length of the straight line x-3y=1, intercept by the hyperbola x^2-4y^2=1 is

Determine whether the line x+3sqrt2*y=9 is a tangent too the ellipse x^2/9+y^2/4=1 . If so, find co-ordinates of the points of contact.

Show that the line 8y+x=17 touches the ellipse x^2+4y^2=17 . Find the point of contact.