The product of perpendiculars from any point on the hyperbola 4 x 2 − 4 3 y 2 = 1 to its asymptotes is K 1 , then K =

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Mathematics - Hyperbola Question with Solution | TestHub

MathematicsHyperbolaAsymptotesEasy2 minQB

MathematicsEasyinteger

The product of perpendiculars from any point on the hyperbola $\frac{x ^{2}}{4} - \frac{3 y ^{2}}{4} = 1$ to its asymptotes is $\frac{1}{K}$ , then $K =$

Answer:

Solution:

Product of perpendiculars from any point on the hyperbola to its asymptotes $= \frac{a ^{2} b ^{2}}{a ^{2} + b ^{2}} = \frac{1}{\frac{1}{a ^{2}} + \frac{1}{b ^{2}}} = 1$

Stream:JEESubject:MathematicsTopic:HyperbolaSubtopic:Asymptotes

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