Embibe Experts Solutions for Chapter: Ellipse, Exercise 1: KEAM 2019

The major and minor axis of the ellipse $400{\mathrm{x}}^2+100{\mathrm{y}}^2=40000$ respectively are

The eccentricity of the ellipse ${\mathrm{x}}^2+\frac{{\mathrm{y}}^2}{4}=1$ is

The Length of the axes of the conic $9x^2+4y^2-6x+4y+1=0$ are

The eccentricity of the ellipse, if the distance between foci is equal to the latusrectum is:

The length of the latusrectum of an ellipse is $\frac{1}{2}$ of the major axis. Its eccentricity would be

Eccentricity of the ellipse $4x^2+y^2-8x+4y-8=0$ is

The eccentricity of the conic $x^2+2y^2-2x+3y+2=0$ is

The values of $\lambda$ for which the line $y=x+\lambda$ touches the ellipse $9x^2+16y^2=144,$ are