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 3x-4y=1 touches the circle x^(2)+y^(2)-2x+4y+1=0 . Find the coordinates of the point of contact.

If the line y=x+c touches the ellipse 2x^(2)+3y^(2)=1 then c=

Prove that the line x+y=3a touches the curve x^(3)+y^(3)=3axy; find the coordinates of the point of contact

If the line 3x+4y=sqrt(7) touches the ellipse 3x^(2)+4y^(2)=1, then the point of contact is

If the line y=x+sqrt(3) touches the ellipse (x^(2))/(4)+(y^(2))/(1)=1 then the point of contact is

The line x+14y=25 is the polar of the ellipse x^(2)+4y^(2)=25. Find coordinates of the pole.

If the line x+y=1 touches the parabola y^(2)-y+x=0 ,then the coordinates of the point of contact are:

The tangent to the circle x^(2)+y^(2)=5 at (1, -2) also touches the circle x^(2)+y^(2)-8x+6y+20=0. Find the coordinates of the corresponding point of contact.

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