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Complex Numbers · 2010 · Shift 1

2 Mathematics questions from this JEE Advanced paper

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PYQ Library
JEE Advanced
Papers
2010 · Shift 1
Mathematics
Complex Numbers

Complex Numbers · 2010 · Shift 1

2 Mathematics questions from this JEE Advanced paper

Q32.Let $z_{1}$ and $z_{2}$ be two distinct complex number and let z =( 1 - t) $z_{1}$ + t $z_{2}$ for some real number t with 0 < t < 1. IfArg (w) denote the principal argument of a non-zero complex number w, then
Mathematics · Complex Numbers · Multiple correct
Q53.Let $z_{1}$ and $z_{2}$ be two distinct complex numbers let $z = (1 - t) z_{1} + t z_{2}$ for some real number t with $0 I f$ \operatorname{Arg}(w) $d e n o t es t h e p r in c i p a l a r g u m e n t o f an o n z er oco m pl e x n u mb er$ w$, then :
Mathematics · Complex Numbers · Multiple correct