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If x^(2)+y^(2)=16 is director circle of ...

If `x^(2)+y^(2)=16` is director circle of locus of centre of a moving ellipse touches both the axes in first quadrant, then if major axis and minor axis are not fixed, then maximum value of product of semi-major and semi -minor axis is

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The correct Answer is:
4
`sqrt(2(a^(2)+b^(2)))=4impliesa^(2)+b^(2)=8`
`:.(a^(2)+b^(2))/2 geab`
`impliesab le4`
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