Mathematics - Hyperbola Question with Solution | TestHub

MathematicsHyperbolaAsymptotesEasy2 minQB

MathematicsEasyinteger

Acute angle between the asymptotes of the hyperbola $x^{2} + 2 x y - 3 y^{2} + x + 7 y + 9 = 0$ is $θ$ . Then $tan θ =$

Answer:

Solution:

Equation of hyperbola is

$x^{2} + 2 x y - 3 y^{2} + x + 7 y + 9 = 0$

The combined equation of asymptotes is

$x^{2} + 2 x y - 3 y^{2} + x + 7 y + K = 0$

$tan θ = \frac{2 h ^{2} - ab}{∣ a + b ∣} = \frac{2 1 + 3}{1 - 3} = 2$

Stream:JEESubject:MathematicsTopic:HyperbolaSubtopic:Asymptotes

⏱ 2mℹ️ Source: QB

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