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AP EAMCET2012MathematicsComplex Number

If a, b, c and d R such that a^2+b^2=4 and c^2+d^2=2 and if (a+i b)^2=(c+i d)^2(x+i y) , then x^2+y^2 is equal to

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

A. 4

Step-by-step solution

Given, (a+i b)^2=(c+i d)^2(x+i y) array lc & |a+i b|^2=|c+i d|^2|x+i y| & a^2+b^2= (c^2+d^2 ) ( x^2+y^2 ) & 4=2 ( x^2+y^2 ) & ( a^2+b^2=4 and c^2+d^2=2 given ) & x^2+y^2 =2 & x^2+y^2=4 array

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