The line `2x-3y=9` touches the conics `y^(2)=-8x`. find the point of contact.

Show that the line x-2y + 4a = 0 touches y^(2) = 4ax.Also find the point of contact

Show that the line x + ny + an ^(2) =0 touches the parabola y ^(2) = 4 ax and find the point of contact.

Show that the line 3x+4y +20=0 touches the circle x^(2) + y^(2) =16 and find the point of contact

The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4 , then the point of contact is

Show that the line x + 2y - 4 = 0 touches the ellipse 3x^(2) + 4y^(2) = 12 also find the point of contact.

Prove that the straight line 5x + 12 y = 9 touches the hyperbola x ^(2) - 9 y ^(2) =9 and find the point of contact.

Prove that the straight line y = x + a sqrt(2) touches the circle x^(2) + y^(2) - a^(2)=0 Find the point of contact.

If y-2x-k=0 touches the conic 3x^2-5y^2=15 , find the value of k.

Show that the line x- y +4=0 is tangent to the parabola y^(2)= 16x . Find the point of contact.