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Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralEasy2 minPYQ_2006

MathematicsEasystatement

In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is

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Answer:

Solution:

$2 a e = 6 \Rightarrow a e = 3$ $2 b = 8 \Rightarrow b = 4$ $b^{2} = a^{2} (1 - e^{2})$ $16 = a^{2} - a^{2} e^{2}$ $a^{2} = 16 + 9 = 25$ $a = 5$ $∴ e = \frac{3}{a} = \frac{3}{5}$

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:General

⏱ 2mℹ️ Source: PYQ_2006

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