If the line `2x-y=4` touches the hyperbola `4x^2-3y^2=24`, the point of contact is

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

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

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

If the line x=7 touches the circle x^2+y^2-4x-6y-12=0 , then the co-ordinates of the point of contact are

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.

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

The line x/a+y/b=1 will touch the circle x^2+y^2=c^2 if

If the line y= 4x-5 touches the curve y^2 = ax^3 + b , at the point (2,3) find a and b.