JEE Main 2019 · 12 Jan · Shift II

JEE Main 2019 Mathematics question on Circles

If a circle of radius RR passes through the origin OO and intersects the coordinate axes at AA and BB, then the locus of the foot of perpendicular from OO on ABAB is
  1. A.
    (x2+y2)2=4R2x2y2(x^2 + y^2)^2 = 4R^2x^2y^2
  2. B.
    (x2+y2)3=4R2x2y2(x^2 + y^2)^3 = 4R^2x^2y^2
  3. C.
    (x2+y2)2(x+y)=R2xy(x^2 + y^2)^2(x + y) = R^2xy
  4. D.
    (x2+y2)3=4Rx2y2(x^2 + y^2)^3 = 4Rx^2y^2
Show answer

Correct option: B

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