Mathematics - Hyperbola Question with Solution | TestHub

MathematicsHyperbolaTangent to hyperbolaMedium2 minQB

MathematicsMediummultiple choice

Find the common tangents to $x^{2} - y^{2} = 12$ and $x y = 8$ .

Answer:

B, D

Solution:

Let $y = m x + c$ . Tangency to both curves gives $3 m^{2} + 8 m - 3 = 0; m = 1/3$ is inadmissible and $m = - 3$ gives $c = \pm 46$ .

Stream:JEESubject:MathematicsTopic:HyperbolaSubtopic:Tangent to hyperbola

⏱ 2mℹ️ Source: QB

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