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Mathematics - Hyperbola Question with Solution | TestHub

MathematicsHyperbolaTangent to hyperbolaMedium3 minQB

MathematicsMediumsingle choice

From a point on $x - y + 2 = 0$ , tangents are drawn to $x^{2} /6 - y^{2} /2 = 1$ . If their chord of contact passes through fixed point $(λ, μ)$ , find $λ / μ$ .

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Answer:

Solution:

Let the point be $(α, α + 2)$ . Its chord of contact is $αx /6 - (α + 2) y /2 = 1$ . The fixed-point conditions give $λ /6 - μ /2 = 0$ , hence $λ / μ = 3$ .

Stream:JEESubject:MathematicsTopic:HyperbolaSubtopic:Tangent to hyperbola

⏱ 3mℹ️ Source: QB

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