If `e_(1)` and `e_(2)` represent the eccentricity of the curves `6x^(2) - 9y^(2) = 144` and `9x^(2) - 16y^(2) = 144` respectively . Then `(1)/(e_(1)^(2)) + (1)/(e_(2)^(2))` is equal to

If `e_(1)` and `e_(2)` represent the eccentricity of the curves `6x^(2

1.	If `e_(1)` and `e_(2)` represent the eccentricity of the curves `6x^(2) - 9y^(2) = 144` and `9x^(2) - 16y^(2) = 144` respectively . Then `(1)/(e_(1)^(2)) + (1)/(e_(2)^(2))` is equal to
Answer» Correct Answer - B Given curves are `(x^(2))/(9) - (y^2)/(16) = 1` and `(x^(2))/(16) - (y^(2))/(9) = 1` `therefore " " e_(1) = sqrt(1 + (16)/(9)) = (5)/(3)` and `e_(2) = sqrt(1 + (9)/(16)) = (5)/(4)` Now , `(1)/(e_(1)^(2)) + (1)/(e_(2)^(2)) = (9)/(25) + (16)/(25) = 1`

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If `e_(1)` and `e_(2)` represent the eccentricity of the curves `6x^(2) - 9y^(2) = 144` and `9x^(2) - 16y^(2) = 144` respectively . Then `(1)/(e_(1)^(2)) + (1)/(e_(2)^(2))` is equal to

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