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1. If aa+bb=1...

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1. If aa+bb=1 then find the value of 1+b+ia/1+b-ia.

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a^{2} + b^{2} = 1

\frac{1 + b + i a}{1 + b - i a} =

If $(a^{2} + b^{2}) = 1 \frac{1 + b + i a}{(1 + b - i a)}$

Q. If a = 2, b = 3, find the values of

(i) (a^b + b^a)^–1

(ii) (a^a + b^b)^–1

Q. If z is unimodular complex number then

z = (\frac{1 + i a}{1 - i a})^{4}

A = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

B = [\begin{matrix} 1 & 0 0 & 1 \end{matrix}]

(a A + b B) (a A - b B)

in the form of Matrix

A

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