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Given H=x^2/a^2-y^2=1 & E=3x^2+4y^2=12 i...

Given `H=x^2/a^2-y^2=1 & E=3x^2+4y^2=12` if the lengths of latus rectum are equal then find the value of `12((e_E)^2+(e_H)^2)`

A

36

B

48

C

42

D

`41/2`

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