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Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseGeneralHard3 minQB

MathematicsHardsingle choice

Let $PQ$ be a double ordinate of $x^{2} / a^{2} + y^{2} / b^{2} = 1$ , and $A A^{'}$ its major axis. If $P A$ and $Q A^{'}$ produced meet at $R$ , what is the locus of $R$ ?

Options:

Answer:

Solution:

With $P = (a cos θ, b sin θ)$ and $Q = (a cos θ, - b sin θ)$ , eliminating $θ$ from $P A$ and $Q A^{'}$ gives $x^{2} / a^{2} - y^{2} / b^{2} = 1$ , a hyperbola.

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:General

⏱ 3mℹ️ Source: QB

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