Show that the line `x-y=5` is a tangent to the ellipse `9x^2+16y^2=144`. 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 3x-4y+10=0 is tangent to the hyperbola x^2-4y^2=20 . Also 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

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

The latus rectum of the ellipse 9x^2+16y^2=144 , 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.

Find K, if the line 3x+4y+k=0 touches the ellipse 9x^2+16y^2=144 .

A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts on both the axes is

Determine whether the line x + 3y sqrt(2)= 9 is a tangent to the ellipse x^(2)//9 + y^(2)//4 = 1 . If so, find the co-ordinates of the pt of contact.