Prove that the straight line `y=x+sqrt(7/12)`.touches the ellipse. `3x^2+4y^2=1.`

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.

Show that the straight line 3x + 4y = 20 touches the circle x ^2 + y ^2 = 16.

Prove that the straight line x+y=1 touches the parabola y=x-x^(2)

Show that the line y= x + sqrt(5/6 touches the ellipse 2x^2 + 3y^2 = 1 . Find the coordinates of the point of contact.

Show that the line y= x + sqrt(5/6 touches the ellipse 2x^2 + 3y^2 = 1 . Find the coordinates of 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.

The distance of the point of contact from the origin of the line y=x-sqrt(7) with the ellipse 3x^(2)+4y^(2)=12 is (A) sqrt(3)(B)2(C)(5)/(sqrt(7)) (D) (5)/(7)

The line 2 x+3 y=12 touches the ellipse 4 x^(2)+9 y^(2)=72 at