List of top Mathematics Questions on Ellipse asked in AP EAPCET

If the distance between the foci of an ellipse \[ \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 \] is \(6\) and the distance between its directrices is \(10\), then the equation of one of the tangents of the ellipse drawn parallel to the line \[ y=\sqrt2\,x+5 \] is

If the ends of the major axis \(A'\) and \(A\) of the ellipse \[ \frac{(x-2)^2}{a^2}+\frac{(y-3)^2}{b^2}=1 \] are respectively at distances \(9\) and \(3\) units from a directrix \(L\), then the foci of the ellipse are:

The equation of the tangent to the ellipse \[ \frac{x^2}{16}+\frac{y^2}{9}=1 \] which is parallel to the line \[ 3x+4y+5=0 \] is

If the latus rectum of an ellipse is equal to half of the minor axis, then its eccentricity is:

The distance between the directrices of the ellipse \[ \frac{x^2}{36}+\frac{y^2}{20}=1 \] is

If the angle between the straight lines joining the foci and the ends of the minor axis of the ellipse \[ \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 \] is \(90^\circ\), then its eccentricity is

The focal distances of the point \(\left(\dfrac{4}{\sqrt{5}},\dfrac{3}{\sqrt{5}}\right)\) on the ellipse \(\dfrac{x^2}{4}+\dfrac{y^2}{9}=1\) are