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If ((a+i)^(2))/(2a-i)= p +qi, show that ...

If `((a+i)^(2))/(2a-i)= p +qi`, show that `p^(2) + q^(2)= ((a^(2) + 1)^(2))/(4a^(2) + 1)`

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If ((a+i)^2)/((2a-i))=p+i q , show that: p^2+q^2=((a^2+1)^2)/((4a^2+1)) .

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Knowledge Check

  • If P be the sum of odd terms and Q be the sum of even terms in the expansion of (x+a)^(n) , then (x+a)^(2n)+(x-a)^(2n) is (i) P^(2)-Q^(2) (ii) P^(2)+Q^(2) (iii) 2(P^(2)+Q^(2)) (iv) 4PQ

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    C
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