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CBSE Class 11-science Answered

How can find the eccenticity of the ellipse if the distance between the foci is equal to the length of the latus rectum?
Asked by aadeshpdabre | 17 Feb, 2016, 02:52: PM
answered-by-expert Expert Answer
Standard space equation space of space the space ellipse space is space straight x squared over straight a squared plus straight y squared over straight b squared equals 1. focus space identical to open parentheses plus-or-minus square root of straight a squared minus straight b squared end root comma space 0 close parentheses Length space of space latus space rectum space equals space fraction numerator 2 straight b squared over denominator straight a end fraction The space distance space between space the space foci space is space equal space to space the space length space of space the space latus space rectum. 2 square root of straight a squared minus straight b squared end root space equals fraction numerator 2 straight b squared over denominator straight a end fraction square root of straight a squared minus straight b squared end root space equals straight b squared over straight a Eccenticity space equals fraction numerator square root of straight a squared minus straight b squared end root over denominator straight a end fraction equals fraction numerator straight b squared over straight a over denominator straight a end fraction equals straight b squared over straight a squared
Answered by Vijaykumar Wani | 18 Feb, 2016, 02:48: PM

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CBSE 11-science - Maths
Find the equation of the ellipse with centre at the origin , major axis on the x- axis and passing through the point (4,3) and (-1,4)..
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CBSE 11-science - Maths
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