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AP EAMCET2002MathematicsTrigonometric Equations

If a point (x, y)=( + , - ) , then the locus of (x, y) is

Options

  1. A(x^2 y )^ 2 / 3 + (x y^2 )^ 2 / 3 =1
  2. Bx^2-y^2=4 x y
  3. Cx^2-y^2=12 x y
  4. D(x^2-y^2 )^2=16 x y

Correct answer

D. (x^2-y^2 )^2=16 x y

Step-by-step solution

Given that, array cc & + =x & - =y & = x+y 2 , = x-y 2 & ( x+y 2 ) ( x-y 2 )= & x^2-y^2=4 ( ^2 )=4 ( 1- ^2 ) & x^2-y^2=4( - ) & (x^2-y^2 )^2=16 ( ^2+ ^2 -2 ) & (x^2-y^2 )^2=16 (1+ ^2 +1- ^2 -2 ) & (x^2-y^2 )^2=16 ( ^2 - ^2 ) & (x^2-y^2 )^2=16 x y array

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