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Complex Numbers MATHS - Complex Numbers

Rajasthan Board (RBSE) - STD 11 Science - MATHS (Rajasthan - English Medium). 265 questions in this chapter.

Question types

Complex Numbers question types

265 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

265
Questions
5
Question groups
5
Question types
Sample Questions

Complex Numbers questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
The polar form of $(\text{i}^{25})^3$ is:
  1. $\cos\frac{\pi}{2}+\text{i}\sin\frac{\pi}{2}$
  2. $\cos\pi+\text{i}\sin\pi$
  3. $\cos\pi-\text{i}\sin\pi$
  4. $\cos\frac{\pi}{2}-\text{i}\sin\frac{\pi}{2}$
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Q 3M.C.Q (1 Marks)1 Mark
If $\text{a}=\cos\theta+\text{i}\sin\theta,$ then $\frac{1+\text{a}}{1-\text{a}}=$
  1. $\cot\frac{\theta}{2}$
  2. $\cot\theta$
  3. $\text{i}\cot\frac{\theta}{2}$
  4. $\text{i}\tan\frac{\theta}{2}$
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Q 4M.C.Q (1 Marks)1 Mark
The complex number z which satisfies the condition $\Big|\frac{\text{i}+\text{z}}{\text{i}-\text{z}}\Big|=1$ lies on:
  1. Circle x2 + y2 = 1
  2. The x-axis
  3. The y-axis
  4. The line x + y = 1
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Q 5M.C.Q (1 Marks)1 Mark
If z is a complex number, then:
  1. $|\text{z}|^2>|\text{z}|^2$
  2. $|\text{z}|^2=|\text{z}|^2$
  3. $|\text{z}|^2<|\text{z}|^2$
  4. $|\text{z}|^2\geq|\text{z}|^2$
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Q 245 Marks Questions5 Marks
If z1, z2 are two complex numbers such that $|\text{z}_1|=|\text{z}_2|$ and $\text{arg(z}_1)+\text{arg(z}_2)=\pi,$ then show that $\text{z}_1=-\bar{\text{z}}_2.$
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