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Question

Given standard equation of ellipse,
x2a2+y2b2=1,a>b,
with eccentricity e
Match the following
a) Focusi)(ae,0)b) Directrixii)(a,0)c) Eccentricityiii)x=aed) Verticesiv)(ae,0)v)x=aevi)1b2a2


A

a=i,iv, b=ii,v, c=vi, d=iii

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B

a=i, b=ii,v, c=vi, d=iii

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C

a=i,iv, b=iii,v, c=vi, d=ii

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D

a=i, b=iii,v, c=vi, d=ii

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Solution

The correct option is C

a=i,iv, b=iii,v, c=vi, d=ii


Let's deduce what all we can infer from the given equation of the ellipse
x2a2+y2b2=1
focus=(ae,0),(ae,0)directrixx=ae, x=aeeccentricity1b2a2major Axisy=0 as a>bminor Axisx=0 as b<aVertices(a,0),(a,0)ai,iv, biii,v, cvi, dii


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