If (3+4i)50=525(a+ib) then the value of a2+b2 is

|(3+4i)50|=525|(a+ib)|⇒(3+42)50=525.a2+b2⇒550=525.a2+b2⇒a2+b2=525

If (3+4i)50=525(a+ib) then the value of a2+b2 is

|(3+4i)50|=525|(a+ib)|⇒(3+42)50=525.a2+b2⇒550=525.a2+b2⇒a2+b2=525

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If ${(3 + 4 i)}^{50} = 5^{25} (a + i b)$ then the value of $\sqrt{a^{2} + b^{2}}$ is

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$5^{50}$

$5^{25}$

$5^{15}$

$5^{20}$

answer is B.

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$| {(3 + 4 i)}^{50} | = 5^{25} | (a + i b) |$

$\Rightarrow {(\sqrt{3 + 4^{2}})}^{50} = 5^{25} . \sqrt{a^{2} + b^{2}}$

$\Rightarrow 5^{50} = 5^{25} . \sqrt{a^{2} + b^{2}}$

$\Rightarrow \sqrt{a^{2} + b^{2}} = 5^{25}$

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If (3+4i)50=525(a+ib) then the value of a2+b2 is

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If ${(3 + 4 i)}^{50} = 5^{25} (a + i b)$ then the value of $\sqrt{a^{2} + b^{2}}$ is