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Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseMiscellaneous/MixedHard3 minQB

MathematicsHardnumerical

A parabola passes through $(1, 0), (- 1, 0)$ and its directrix is tangent to $x^{2} + y^{2} = 4$ . If the focus locus is $x^{2} / a^{2} + y^{2} / b^{2} = 1$ , find $a^{2} / b^{2}$ .

Answer:

1.33

Solution:

The focus locus calculation gives an ellipse whose squared semiaxis ratio is 4/3, accepted numerically as 1.33 or 1.34.

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:Miscellaneous/Mixed

⏱ 3mℹ️ Source: QB

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