Solveeit Logo
Login

Question

Question: The ellipse \(\frac{x^{2}}{a^{2}}\)+\(\frac{y^{2}}{b^{2}}\)= 1 cut x-axis at A and A¢ and y-axis at ...

The ellipse x2a2\frac{x^{2}}{a^{2}}+y2b2\frac{y^{2}}{b^{2}}= 1 cut x-axis at A and A¢ and y-axis at B and B¢. The line joining the focus S and B makes angle 3π4\frac{3\pi}{4}with x-axis. The eccentricity of the ellipse is-

A

13\frac{1}{3}

B

14\frac{1}{4}

C

12\frac{1}{\sqrt{2}}

D

12\frac{1}{2}

Answer

12\frac{1}{\sqrt{2}}

Explanation

Solution

ae/4 = cos (p/4) Ž e = 1/21/\sqrt{2}