Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralEasy2 minPYQ_2015

MathematicsEasysingle choice

The eccentricity of an ellipse, with its centre at the origin, is $1/2$ . If one of the directrices is $x = 4$ then the equation of the ellipse is:

Options:

Answer:

Solution:

$e = \frac{1}{2} .$ Directrix $, x = \frac{a}{e} = 4$ $∴ a = 4 \times \frac{1}{2} = 2 ∴ b = 2 1 - \frac{1}{4} = 3$ Equation of ellispe is $\frac{x ^{2}}{4} + \frac{y ^{2}}{3} = 1 \Rightarrow 3 x^{2} + 4 y^{2} = 12$

Stream:BITSATSubject:MathematicsTopic:EllipseSubtopic:General

⏱ 2mℹ️ Source: PYQ_2015

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