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AP EAMCET2008MathematicsDifferentiation

If z= ⁻¹ ( x^4+y^4-8 x^2 y^2 x^2+y^2 ), then x z x +y z y is equal to

Options

  1. Az
  2. B2 z
  3. C2 z
  4. D2 z

Correct answer

B. 2 z

Step-by-step solution

Given that, aligned z & = ⁻¹ ( x^4+y^4-8 x^2 y^2 x^2+y^2 ) z & = x^4+y^4-8 x^2 y^2 x^2+y^2 aligned Here, n=2 aligned x z x +y z y & =2 z z z & =2 z aligned

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