If for real a, b, c, d,(a+i b)^ [+i d is real, then it is equal to :

Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations

1. \(\left(\sqrt{a^{2}+b^{2}}\right)^{\sqrt{c^{2}+d^{2}}}\)
2. \(\sqrt{\left(\sqrt{a^{2}+b^{2}}\right)^{\left[t^{2}+d^{2}\right]}}\)
3. \(\sqrt[2 \pi]{\left(\sqrt{a^{2}+b^{2}}\right)^{\left\lfloor t^{2}+d^{2}\right\rceil}}\)
4. \(\left(\sqrt{a^{2}+b^{2}}\right)^{\sqrt[2 r]{r^{2}+d^{2}}}\)

Answer

(A) ( a^ 2 +b^ 2 )^ c^ 2 +d^ 2

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