Given standard equation of ellipse,x2a2+y2b2=1,a>b,with eccentricity e – InterviewSolution

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1.	Given standard equation of ellipse,x2a2+y2b2=1,a>b,with eccentricity e.Match the following a)Major axisi)2a(1−e2)b)Minor axisii)y=0c)Double ordinateiii)x=0d)Latus Rectum lengthiv)x=−aev)√1−b2a2
Answer» Given standard equation of ellipse, $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1, a > b$ , with eccentricity $e$ . Match the following $\begin{matrix} a) Major axis & i) 2 a (1 - e^{2}) b) Minor axis & i i) y = 0 c) Double ordinate & i i i) x = 0 d) Latus Rectum length & i v) x = \frac{- a}{e} v) \sqrt{1 - \frac{b^{2}}{a^{2}}} \end{matrix}$

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