The eccentricity of the ellipse $25{x^2} + 16{y^2} = 100$, is

  • A

    $\frac{5}{{14}}$

  • B

    $\frac{4}{5}$

  • C

    $\frac{3}{5}$

  • D

    $\frac{2}{5}$

Similar Questions

The normal at a point $P$ on the ellipse $x^2+4 y^2=16$ meets the $x$-axis at $Q$. If $M$ is the mid point of the line segment $P Q$, then the locus of $M$ intersects the latus rectums of the given ellipse at the points

  • [IIT 2009]

The line $y=x+1$ meets the ellipse $\frac{x^{2}}{4}+\frac{y^{2}}{2}=1$ at two points $P$ and $Q$. If $r$ is the radius of the circle with $PQ$ as diameter then $(3 r )^{2}$ is equal to

  • [JEE MAIN 2022]

The foci of $16{x^2} + 25{y^2} = 400$ are

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse $\frac{x^{2}}{36}+\frac{y^2} {16}=1$

The value of $\lambda $, for which the line $2x - \frac{8}{3}\lambda y = - 3$ is a normal to the conic ${x^2} + \frac{{{y^2}}}{4} = 1$ is