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Complex problem on complex numbers!

If a complex number z satisfies the equation \( z + \sqrt{2}|z+1| + i = 0 \) , then |z| is equal to (where i is the imaginary number) a) 1 b) 2 c) \( \sqrt{5} \) d) \( \sqrt{3} \)

Note by Srujana Rao Yarasi
4 years, 3 months ago

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i think the answer is \(\sqrt{5}\) Prabhanjan Mannari · 4 years, 3 months ago

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the complex number must be of the form a-i where a is any real number now put it in the eqn n sove for d value of a n get mod z... Aditya Chauhan · 4 years, 3 months ago

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The thing is...I solved this question some time back and I got \( \sqrt(5) \) as the answer...But now I'm totally stumped!!How did you do it? Srujana Rao Yarasi · 4 years, 3 months ago

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@Srujana Rao Yarasi That is pretty straightforward. Since the equation is simple, so we can substitute z= x + iy and express L.H.S as a + ib and compare it with R.H.S i.e 0 + i0 . Nishant Sharma · 4 years, 3 months ago

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