Embibe Experts Solutions for Chapter: Ellipse, Exercise 1: AP EAPCET 2019 (21-Apr Shift-2)

Let $P$ be any point on the ellipse $7x^2+16y^2=112, S$ be a focus, $L$ be the corresponding directrix and $PM$ be the perpendicular distance from $P$ to directrix $L$. Then $\frac{SP}{PM}=$

If a point $P\left(x,y\right)$ moves along the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$ and if $C$ is the centre of the ellipse, then the sum of maximum and minimum values of $CP$ is

If $S$ and $S^{\text{'}}$ are the focii of an ellipse, $B$ is one end of the minor axis and $\angle SBS\text{'}=90°$, then the eccentricity of that ellipse is

In an ellipse, if the distance between the foci is $6$ units and the length of its minor axis is $8$ units, then its eccentricity is

If $\tan {\theta }_1\times \tan {\theta }_2=\frac{-a^2}{b^2}$, then the chord joining $2$ points ${\theta }_1$ and ${\theta }_2$ on the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ will subtend a right angle at

If the line $y=2x+c$ touches the curve $x^2+4y^2=4,$ then $c^2=$

If tangents are drawn to the ellipse $\frac{x^2}{9}+\frac{y^2}{5}=1$ at the ends of latus recta, then the area of the quadrilateral thus formed is

The points of intersection of the perpendicular tangents drawn to the ellipse $4x^2+9y^2=36$ lie on the curve