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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Complex nos.
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priyesh (1584)

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If iz3 + z2 - z + i = 0 where i = root(-1) & zis a complex no. then distance of z from the origin is
 
A) 1/2 unit         B) 1 unit        C) 2 units        D)  root(2) units

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ritu_007 (603)

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can u re-write the ques plz......

"OUR GREATEST GLORY IS NOT IN NEVER FALLING.BUT IN RAISING EVERTIME WE FALL".
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nadeemoidu (1184)

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iz3 + z2 - z + i = 0

i z3 - i2 z2 - z + i =0
 
i z2 ( z - i ) - ( z - i ) =0

( i z2 - 1) ( z - i ) =0

z = i or z= ( -i)

In both cases | z |=1

So the answer is (B) 1 unit
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spideyunlimited (3000)

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wow, good..
but umm how is root of -i = mod i ? plz nudge me too thnks:

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* Gaurav Ragtah ( aka Artemis Fowl )

* Agent 'G' [sniper] - SD-6 (Alliance of Twelve)






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