Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralMedium2 minPYQ_2008

MathematicsMediumstatement

A focus of an ellipse is at the origin. The directrix is the line $x = 4$ and the eccentricity is $1/2$ . Then the length of the semi-major axis is

Answer:

Solution:

Major axis is along $x$ -axis. $\frac{a}{e} - a e = 4 a (2 - \frac{1}{2}) = 4 a = \frac{8}{3} .$

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:General

⏱ 2mℹ️ Source: PYQ_2008

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