Class 11Mathematics1 Complex Numbers and Quadratic Equations: Complex NumbersArgument of complex numbers
Easyચલ બિંદુ $z=x+iy$ નો બિંદુપથ જેનો કંપવિસ્તાર (amplitude) હંમેશા $\theta$ જેટલો હોય,તે છે
- A$x^2+y^2=\tan^2 \theta$
- B$y=x \tan \theta$
- C$\frac{x^2}{\sin^2 \theta}+\frac{y^2}{\cos^2 \theta}=1$
- D$\frac{x^2}{\sin^2 \theta}-\frac{y^2}{\cos^2 \theta}=1$
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Similar Questions
$\left( \frac{1 - i}{1 + i} \right)$ નો કંપનવિસ્તાર (amplitude) શોધો.
Easy
View Solutionધારો કે $z = 1 + i$ અને $z_1 = \frac{1 + i \overline{z}}{\overline{z}(1 - z) + \frac{1}{z}}$. તો $\frac{12}{\pi} \arg(z_1)$ ની કિંમત $..........$ થાય.
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View Solutionજો $\operatorname{Arg} z_1$ અને $\operatorname{Arg} \overline{z_2}$ અનુક્રમે $\frac{\pi}{3}$ અને $\frac{\pi}{5}$ હોય,તો $\operatorname{Arg} z_1 + \operatorname{Arg} z_2$ ની કિંમત શોધો.
જો $z_1 \cdot z_2 \cdot \dots \cdot z_n = z$ હોય,તો $arg(z_1) + arg(z_2) + \dots + arg(z_n)$ અને $arg(z)$ વચ્ચેનો તફાવત કેટલો હોય?
Medium
View Solutionજો $arg(z) = \theta$ હોય,તો $arg(\overline{z}) = $
Medium
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