5-Complex Numbers

Complex Numbers

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How to prepare for Complex Numbers for JEE Mains
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SGh
Sir please tell how to solve this problem?
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62
solution.livedoubt
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pvashistha
Doubt regarding All India Mock Test Series - Complex Numbers question.
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85
LiveDoubtClearing
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P
Solve question 25 of complex number
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158
Abhineet
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P
Please solve question 25 of complex number
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3
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111
Abhineet
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deveshgarg2008
Geometry of Complex Numbers
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217
RJVLKHN
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deveshgarg2008
Quadratic Equation in Complex terms
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2
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279
Amodini
Amodini
kumarmayur1376
Let z be a given complex number with modulus |z| < 1 Then the set : w/ = 1, w ∈ C is a 1-zw
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3
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289
kumarmayur1376
kumarmayur1376
deveshgarg2008
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Let a complex number $z=x+$ iy satisfies equation $|z|^4-16|z|^2-3 z^2-3 \bar{z}^2+9=0$. If $a$ and $b$
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1
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310
Amodini
Amodini
deveshgarg2008
Let $A_1, A_2, A_3, \ldots \ldots A_n$ be vertices of $n$ sided regular polygon inscribed in a circle of radius unity. If $P_i$ be a point lying on
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4
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290
deveshgarg2008
deveshgarg2008
R
Let $z$ be a complex number satisfying $\frac{1}{2} \leq|z| \leq 4$, then sum of greatest and least values
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1
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245
solution.livedoubt
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M
If \( (z+1)^{2 n}+(z-1)^{2 n}=0 \), where \( z \) is a complex number and \( n \in N \), then which of the following is always true?
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311
rahulp
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Let PQRST be a pentagon in which the sides PQ \\& RS are parallel and the sides $\mathrm{PT} \backslash \& \mathrm{QR}$ are parallel as shown in fig
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327
solution.livedoubt
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Anish
Let $\mathrm{z}=\mathrm{a}+i b, \mathrm{~b} \neq 0$ be complex numbers satisfying $\mathrm{z}^2=\overline{\mathrm{z}} \cdot 2^{1-|z|}$. Then the least
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1
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355
solution.livedoubt
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D
The product of any two of the tenth roots of unity is
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1
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220
solution.livedoubt
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deveshgarg2008
Let $z_1$ and $z_2$ be roots of the equation $z^2+p z+q=0$, where the coefficients p and q may be complex numbers. Let A and B represent $z_1$
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3
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409
deveshgarg2008
deveshgarg2008
A
Let \( z \) be a complex number satisfying \( \left|z^{2}+2 z \cos \alpha\right| \leq 1 .(\alpha \in R) \) Find maximum value of \(|z+\cos(\alpha)|\).
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217
Math.LiveDoubtClearing
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deveshgarg2008
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If $\omega$ is the imaginary cube root of unity such that
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3
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669
deveshgarg2008
deveshgarg2008
M
If $z=3-4 i$ then $|z|$ is equal to
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1
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238
Math.LiveDoubtClearing
M
L
Among the complex numbers z satisfying the condition $|z+3-\sqrt{3} i|=\sqrt{3}$, find the number having the least positive argument.
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1
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516
Math.LiveDoubtClearing
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L
Define real and imaginary number
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341
Math.LiveDoubtClearing
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