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- Quotes for the March @quote-of-the-day
- olor="#A11400" title="Quote by Mathematician"> <TEXT align="right">"نئی ریاضی" کی اہمیت بنیادی طور پر ... رمیان فرق سکھایا ہے۔ [اسحاق ٹودھنٹر (1820-1884)]</TEXT> The importance of the "New Mathematics" lies mai... sc and the circle. [Isaac Todhunter (1820-1884)] <TEXT align="right" type="danger" size="small">(Courtesy: MacTutor) ---: MathCity.org</TEXT> </callout></col><col lg="4"> <callout icon="f
- Quotes for the May @quote-of-the-day
- color="#A11400" title="Quote by Mathematician"> <TEXT align="right">مختصراً، پوری دنیا خلا اور وقت میں ... یار کی گئی مشین ہے۔۔۔ **مورس کلائن (1908-1992)**</TEXT> In brief, the whole world is the totality of mat... signed machine. --- **Morris Kline (1908-1992)** <TEXT align="right" type="danger" size="small">(Courtesy: MacTutor) ---: MathCity.org</TEXT> </callout></col><col lg="4"> <callout icon="f
- Quotes for the April @quote-of-the-day
- olor="#A11400" title="Quote by Mathematician"> <TEXT align="right">کاسمولوجسٹ اکثر غلط ہوتے ہیں، لیکن کبھی شک میں نہیں۔۔۔ **لیو لینڈاؤ (1908-1968)**</TEXT> Cosmologists are often wrong, but never in doubt. --- **Lev Landau (1908-1968)** <TEXT align="right" type="danger" size="small">(Courtesy: MacTutor) ---: MathCity.org</TEXT> </callout></col><col lg="4"> <callout icon="f
- Quotes for the February @quote-of-the-day
- ow to avoid them [Werner Heisenberg (1901-1976)] <TEXT align="right">ایک ماہر وہ ہوتا ہے جو اپنے مضمون م... چنے کا طریقہ جانتا ہو [ورنر ہیزنبرگ (1901-1976)]</TEXT> <TEXT align="right" type="danger" size="small">(Courtesy: MacTutor) ---: MathCity.org</TEXT> </callout></col><col lg="4"> <callout icon="f
- Question 2, Exercise 2.3 @math-11-kpk:sol:unit02
- 02: Matrices and Determinants. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ===... 1 & 2 \\ 0 & 0 & 1 \end{matrix} \right. \right]\text{ by }R_1+3R_3\text{ and }R_2+2R_3 \\ \underset{\sim}{R}&\left[\begin{matrix} 1 & 4 & 14 \\ 0 & 5 & 6
- Question 1, Exercise 2.5 @math-11-nbf:sol:unit02
- Matrices and Determinants. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. =====Question 1... & 8 & 3 \\ -4 & 6 & 5\end{array}\right]\\ \sim & \text{R} \left[\begin{array}{ccc} 1 & 3 & 5 \\ 0 & 26 &... right]\quad R_2 + 6R_1 \quad R_3 + 4R_1\\ \sim & \text{R} \left[\begin{array}{ccc} 1 & 3 & 5 \\ 0 & 1 &
- Formatting Syntax @wiki
- [[doku>toolbar|quickbuttons]], too. ===== Basic Text Formatting ===== DokuWiki supports **bold**, //italic//, __underlined__ and ''monospaced'' texts. Of course you can **__//''combine''//__** all t... **, //italic//, __underlined__ and ''monospaced'' texts. Of course you can **__//''combine''//__** all... by a whitespace or the end of line. This is some text with some linebreaks\\ Note that the two backslas
- Question 2, Exercise 2.5 @math-11-nbf:sol:unit02
- Matrices and Determinants. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. =====Question 2... & 6 \\ 2 & 10 & 6 \end{array} \right]\\ \sim & \text{R}\left[ \begin{array}{ccc} 1 & \frac{9}{5} & \fr... \end{array} \right]\quad \frac{1}{5} R1\\ \sim & \text{R}\left[ \begin{array}{ccc} 1 & \frac{9}{5} & \fr
- Examples for the Wrap Plugin @playground
- * (including alignments generated by changing the text direction) * **multi-columns** * and **widths... e a big headline with italic, bold and underlined text, e.g. ''%%//**__Emulated Big Headline__**//%%'' ... %//**Emulated Small Headline**//%%'' If you need text that is bold and italic, simply use it the other ... e across something like this, where the following text protrudes into the space where only the floating
- Question 1, Exercise 2.3 @math-11-kpk:sol:unit02
- 02: Matrices and Determinants. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... -1 \\ 0 & -5 & 6 \\ 0 & -5 & -2 \end{bmatrix} \text{ by } R_2-2R_1 \text{ and } R_3-3R_1 \\ \underset{\sim}{R}&\begin{bmatrix} 1 & 3 & -1 \\ 0 & -5 & 6 \
- Question 4, Exercise 2.6 @math-11-nbf:sol:unit02
- Matrices and Determinants. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. =====Question 4... & 7 \\ 4 & 2 & -5 & : & 10 \end{bmatrix}\\ &\sim \text{R}\begin{bmatrix} 1 & -\frac{1}{2} & -\frac{1}{2}... ert & 10 \end{bmatrix}\quad \dfrac{1}{2}\\ &\sim \text{R}\begin{bmatrix} 1 & -\frac{1}{2} & -\frac{1}{2}
- Question 9 Exercise 6.5 @math-11-kpk:sol:unit06
- on, Combination and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... ll be selected. ====Solution==== \begin{align} P(\text { Ajmal scicction })&=\dfrac{1}{7} \\ \Rightarrow P(\text { Ajmal not selected })&=\dfrac{6}{7} \\ P(\text
- Question 9 & 10 Exercise 4.3 @math-11-kpk:sol:unit04
- f Unit 04: Sequence and Series. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... ots, 693$$.\\ Here, $a=306$,\\ $$d=(315-306) = 9 \text { and } a_n=693 .$$\\ Let the number of terms be $n$. Then\\ \begin{align}a_n&=a_1+(n-1) d \text { becomes } \\ \Rightarrow a_1+(n-1) d&=693 \\ \R
- Question 13 Exercise 6.2 @math-11-kpk:sol:unit06
- on, Combination and Probablity. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. ==... $ and $m_3=2$ are $C$. Therefore, \begin{align}\text{total number of permutations are} &=\left(\begin... L$ and $m_3=2$ are $C$. Therefore, \begin{align}\text{Number of permulations are} &=\left(\begin{array}
- Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
- ) ====== <lead>Notes (Solutions) of Exercise 1.1: Textbook of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB) Lahore.</lead> The main topics o... \frac{1}{c}\\ &= (a+b) \times \frac{1}{c}\quad \text{(Right distributive property)}\\ &= \frac{a+b}{c... \dfrac{1}{4} \times (4\times 1+4 \times 4x)\quad \text{(multiplicative identity)}$ $=\dfrac{1}{4} \time
- Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trigonometric Equations @fsc:kpk_fsc_part_1
- Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch07
- Ch 08: Mathematical Induction and Binomial Theorem: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch08