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AP EAMCET202319 May 2023Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If x y= and x y= , then ^2 x+ ^2 y=

Options

  1. A1
  2. B0
  3. C2
  4. D2

Correct answer

B. 0

Step-by-step solution

Given = x h y = x h y Now ^2 + ^2 =( x y)^2+( x h y)^2 aligned & 1= ^2 x h^2 y+ (1- ^2 x ) ^2 y & 1= ^2 x ( ^2 y- h^2 y )+ h^2 y & 1= ^2 x(1)+ ^2 y h^2 y- h^2 y=1 . & 1+1= ^2 x+ (1+ h^2 y ) & 2= ^2 x+ ^2 y 1+ h^2 y= ^2 y . aligned

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