If e1 and e2 are eccentricities of x^2 /...

If `e_1` and `e_2` are eccentricities of `x^2 /18 + y^2 /4 = 1` and `x^2 /9 - y^2 /4 = 1` respectively and if the point `(e_1, e_2)` lies on ellipse `15x^2 + 3y^2 = k`. Then the value of k

`15`

`14`

`16`

`17`

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