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

The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

The line lx+my=n is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, if

If the line lx+my +n=0 touches the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then

The line y=mx+c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, if c

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

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+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 in points whose eccentric angies are 30^(@) and 60^(@) subtends right angle at the origin then its equation is

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