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If e(1) and e(2) are the eccentricities ...

If `e_(1) and e_(2)` are the eccentricities of the ellipse `(x^(2))/(18)+(y^(2))/(4)=1` and the hyperbola `(x^(2))/(9)-(y^(2))/(4)=1` respectively and `(e_(1), e_(2))` is a point on the ellipse `15x^(2)+3y^(2)=k`, then the value of k is equal to

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