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.

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

Answer the following:Show that x=-1 is a tangent to the circle x^2+y^2-2y=0 at (-1,1)

If y+c=0 is a tangent to the circle x^2+y^2-6x-2y+1=0 at (a,4) then

Show that the line 7x-3y-1=0 touches the circle x^2+y^2+5x-7y+4=0 at point (1,2)

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

Find the equation of a tangent to the circle x^2+y^2-3x+2y=0 at origin.

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.