find the locus of the mid points of the chord of the hyperbola x 2 /a 2 -y 2 /b 2 =1 which subtend a right angle at the origin.

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Janani · Answer

consider the mid to be a point P (X 0, Y 0 ) now use the formula S 1 =S 11 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 X 2 and Y 2.

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find the locus of the mid points of the chord of the hyperbola x 2 /a 2 -y 2 /b 2 =1 which subtend a right angle at the origin.

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.

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find the locus of the mid points of the chord of the hyperbola x 2 /a 2 -y 2 /b 2 =1 which subtend a right angle at the origin.

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.

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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.