# Q11

Geometry Level 3

If both the foci of the ellipse $$({ x }^{ 2 }/16)+{ (y }^{ 2 }/{ b }^{ 2 })=1$$ and the hyperbola $$({ x }^{ 2 }/144)-{ (y }^{ 2 }/81)=1/25$$ coincide, then find the value of $${ b }^{ 2 }$$.

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