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Let the major axis of a standard ellipse...

Let the major axis of a standard ellipse equals the transverse axis of a standard hyperbola and their director circles have radius equal to 2R and R respectively. If `e_(1)` and `e_(2)`, are the eccentricities of the ellipse and hyperbola then the correct relation is

A

(a) `4e_(1)^(2)-e_(2)^(2)=6`

B

(b) `e_(1)^(2)-4e_(2)^(2)=2`

C

(c) `4e_(2)^(2)-e_(1)^(2)=6`

D

(d) `e_(2)^(2)-4e_(1)^(2)=2`

Text Solution

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The correct Answer is:
C
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