Show that for all real values of 't' the line `2tx + ysqrt(1-t^2)=1` touches the ellipse.Find the eccentricity of the ellipse.

Show that for all real values of 't' the line 2tx+y sqrt(1-t^(2))=1 touches the ellipse.Find the eccentricity of the ellipse.

Show that for all real p the line 2px+y sqrt(1-p^(2))=1 touches a fixed ellipse . Find the ecentricity of this ellipse.

For all real p, the line 2px+ysqrt(1-p^(2))=1 touches a fixed ellipse whose axex are the coordinate axes The foci of the ellipse are

The line 3x-4y=12 is a tangent to the ellipse with foci (-2,3) and (-1,0). Find the eccentricity of the ellipse.

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.

The line 2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, touches a fixed ellipse whose exes are the coordinate axes. Q. The eccentricity of the ellipse is