The line `x = at^(2)` meets the ellipse `x^(2)/a^(2) + y^(2)/b^(2) = 1` in the real points iff

The line x= t^(2) meet the ellipse x^(2) +(y^(2))/( 9) =1 in the real and distinct points if and only if

The line y=2t^2 meets the ellipse (x^2)/(9)+(y^2)/(4)=1 in real points if

The line y=2t^2 meets the ellipse (x^2)/(9)+(y^2)/(4)=1 in real points if

The line y=2t^(2) intersects the ellipse (x^(2))/(9)+(y^(2))/(4)=1 in real points if

The line x=t^(2) meets the ellipse x^(2)+(y^(2))/(9)=1 at real and distinct points if and only if |t| 1( d) none of these

The pole of line x = a/e with respect to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 is

if the line x- 2y = 12 is tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the point (3,(-9)/(2)) then the length of the latusrectum of the ellipse is

if the line x- 2y = 12 is tangent to the ellipse (x^(2))/(b^(2))+(y^(2))/(b^(2))=1 at the point (3,(-9)/(2)) then the length of the latusrectum of the ellipse is

if the line x- 2y = 12 is tangent to the ellipse (x^(2))/(b^(2))+(y^(2))/(b^(2))=1 at the point (3,(-9)/(2)) then the length of the latusrectum of the ellipse is