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- Question 1, Exercise 1.1
- Question 2, Exercise 1.1
- Question 3, Exercise 1.1
- Question 4, Exercise 1.1
- Question 5, Exercise 1.1
- Question 6, Exercise 1.1
- Question 7, Exercise 1.1
- Question 1, Exercise 1.2
- Question 2, Exercise 1.2
- Question 3, Exercise 1.2
- Question 4, Exercise 1.2
- Question 5, Exercise 1.2
- Question 6, Exercise 1.2
- Question 7, Exercise 1.2
- Question 8, Exercise 1.2
- Question 9, Exercise 1.2
- Question 10, Exercise 1.2
- Question 1, Exercise 1.3
- Question 2, Exercise 1.3
- Question 3, Exercise 1.3
- Question 4, Exercise 1.3
- Question 1, Exercise 1.4
- Question 2, Exercise 1.4
- Question 3, Exercise 1.4
- Question 4, Exercise 1.4
- Question 5, Exercise 1.4
- Question 6(i-ix), Exercise 1.4
- Question 6(x-xvii), Exercise 1.4
- Question 7, Exercise 1.4
- Question 8, Exercise 1.4
- Question 9, Exercise 1.4
- Question 10, Exercise 1.4
- Question 1, Review Exercise
- Question 2, Review Exercise
- Question 3, Review Exercise
- Question 4, Review Exercise
- Question 5, Review Exercise
- Question 6, Review Exercise
- Question 7, Review Exercise
- Question 8, Review Exercise
Fulltext results:
- Question 3, Exercise 1.2
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... an. ====Question 3(i)==== Prove that for $z \in \mathbb{C}$. $z$ is real iff $z=\bar{z}$. **Solution.** Let $$z=a+ib\quad \text{where}\quad a,b\in \mathbb{R}\, ... (1)$$ First suppose that $z$ is real, ... al. ====Question 3(ii)==== Prove that for $z \in \mathbb{C}$. $\dfrac{z-\bar{z}}{z+\bar{z}}=i\left(\dfra
- Question 3, Exercise 1.4
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... tan ^{-1}\left(\frac{b}{a}\right)+2 k \pi, k \in \mathbb{Z}$ ** Solution. ** Let $z_r=x_r+iy_r$, $r=1,... eta_n = \theta + 2k\pi, \quad \text{where } k\in \mathbb{Z}.\,\, -- (3) $$ Taking square on both sides o... eta_r = \theta + 2k\pi, \quad \text{where } k\in \mathbb{Z}, $$ implies $$\sum_{r=1}^{n} \tan ^{-1}\left
- Question 8, Exercise 1.4
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... icle from mean position when amplitude is $0.004 \mathrm{~mm}$ and angle is: $\dfrac{\pi}{4}$ ** Soluti... icle from mean position when amplitude is $0.004 \mathrm{~mm}$ and angle is: $\dfrac{\pi}{3}$ ** Soluti... icle from mean position when amplitude is $0.004 \mathrm{~mm}$ and angle is: $\dfrac{\pi}{6}$ ** Soluti
- Question 9, Exercise 1.4
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... cope at this point. Calculate the angle at time $\mathrm{t}=0$ and find the position of the particle. *... $x_{\max }=1+4 i$. Calculate the frequency when $\mathrm{t}=2$. ** Solution. ** <fc #ff0000>The conten... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-4-p9|< Question 8]]</btn></
- Question 1, Review Exercise
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... i. Every complex number has $\operatorname{part}(\mathrm{s})$. * (a) one * (b) two * %%(... sed="true">%%(c)%%: argand</collapse> viii. If $\mathrm{z}=3+4 i$ then $\mathrm{z}^{-1}$ is * (a) $\left(\frac{1}{3}, \frac{1}{4}\right)$ * (b) $\
- Question 2, Exercise 1.1
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-1-p1|< Question 1]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-1-p3|Question 3 >]]</btn></
- Question 3, Exercise 1.1
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-1-p2|< Question 2]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-1-p4|Question 4 >]]</btn></
- Question 4, Exercise 1.1
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-1-p3|< Question 3]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-1-p5|Question 5 >]]</btn></
- Question 5, Exercise 1.1
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-1-p4|< Question 4]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-1-p6|Question 6 >]]</btn></
- Question 6, Exercise 1.1
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-1-p5|< Question 5]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-1-p7|Question 7 >]]</btn></
- Question 2, Exercise 1.2
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-2-p1|< Question 1]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-2-p3|Question 3 >]]</btn></
- Question 4, Exercise 1.2
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-2-p3|< Question 3]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-2-p5|Question 5 >]]</btn></
- Question 5, Exercise 1.2
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-2-p4|< Question 4]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-2-p6|Question 6 >]]</btn></
- Question 6, Exercise 1.2
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-2-p5|< Question 5]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-2-p7|Question 7 >]]</btn></
- Question 7, Exercise 1.2
- omplex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Fo... to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit01:ex1-2-p6|< Question 6]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit01:ex1-2-p8|Question 8 >]]</btn></