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Grade 11Discuss with colleagues and IITians

in the parabola y^2=4ax prove that the locus of the middle points of all the chords of constant length c is (4ax-y ^2)(y^2+4a^2)=a^2^2

Profile image of mohit nihalani
12 Years agoGrade 11
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1 Answer

Profile image of Sourabh Singh
10 Years ago
Chord in mid point form is T=S1 .Use this to find the equation of chord .
Club it with eqn of parabolA in order to get the relation betwween point and length of the chord