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For an ellipse having major and minor axis along `x` and `y` axes respectivley, the product of semi major and semi minor axis is `20`. Then maximum value of product of abscissa and ordinate of any point on the ellipse is greater thanA. `5`B. `8`C. `10`D. `15` |
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Answer» Correct Answer - A::B Equation of ellipse is `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` For any point `(x_(1),y_(1))` on the curve `((x^(2))/(a^(2))+(y^(2))/(b^(2)))/2gesqrt((x_(1)^(2)y_(1)^(2))/(a^(2)b^(2)))implies1/2ge(x_(1)y_(1))/(ab)impliesx_(1)y_(1)le(ab)/2` `impliesx_(1)y_(1)le10` Which is greater than `5` and `8` |
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