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Analytical Geometry> find the locus of the mid points of the c...

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find the locus of the mid points of the chord of the hyperbola x²/a²-y²/b²=1 which subtend a right angle at the origin.

Shivam Shakya , 9 Years ago

Grade 11

1 Answers

Janani

Last Activity: 9 Years ago

consider the mid to be a point P (X_0,Y₀) now use the formula S₁=S₁₁ you will get the equation of chord with its mid point. then homogenise this equation with the equation of given hyperbola. since it subtends right andle at origin, from the homogenised equation equate coefficient of X² and Y^2.

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