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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