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- Exercise 2.1 (Solutions) @matric:9th_science:unit_02
- ational number $\frac{2}{3}$ , divide unit length between 0 and 1 into 3 equal parts. - (ii) Take 2 parts... tional number $-\frac{4}{5}$ , divide unit length between 0 and -1 into 5 equal parts. - Take 4 parts on ... (iii) - Rational number $\frac{3}{4}$ lies between 1 and 2 on the number line. - The distance between 1 and 2 is divided into 4 equal parts , from L we tak
- FBISE Annual 2009 @fsc:fsc_part_1_old_papers
- f chart are given in which one includes bar chart between chapters and marks, 2nd one include relation between algebraic and trigonometric portion and 3rd one conta... | FBISE Islamabad (Federal Board) | ==== Chart between chapters and marks ==== This chart will give you ... sc_part1/fbise/fbise1_chart_2009.jpg" alt=" Chart between chapters and marks" title=" Chart between chapter
- FBISE Annual 2011 @fsc:fsc_part_1_old_papers
- f chart are given in which one includes bar chart between chapters and marks, 2nd one include relation between algebraic and trigonometric portion and 3rd one conta... | FBISE Islamabad (Federal Board) | ==== Chart between chapters and marks ==== This chart will give you ... sc_part1/fbise/fbise1_chart_2011.jpg" alt=" Chart between chapters and marks" title=" Chart between chapter
- FBISE Annual 2012 @fsc:fsc_part_1_old_papers
- f chart are given in which one includes bar chart between chapters and marks, 2nd one include relation between algebraic and trigonometric portion and 3rd one conta... | FBISE Islamabad (Federal Board) | ==== Chart between chapters and marks ==== This chart will give you ... sc_part1/fbise/fbise1_chart_2012.jpg" alt=" Chart between chapters and marks" title=" Chart between chapter
- Ch 06: Sequences and Series @fsc-part1-ptb:important-questions
- hat $\frac{a^n+b^n}{a^{n-1}+b^{n-1}}$ maybe $A.M$ between $a$ and $b$. --- //BISE Gujrawala(2015)// * I... argodha(2015)// * If $15$ and $8$ are two A.Ms between $a$ and $b$, find $a$ and $b$. --- //BISE Sargodh... -- //BISE Sargodha(2015)// * Find three $A.Ms$ between $3$ and $11$ --- //BISE Sargodha(2016)// * How... rgodha(2016),FBISE(2016)// * Insert two $G.Ms$ between $2$ and $16$ --- //BISE Sargodha(2017)// * If
- Question 14 Exercise 4.2 @math-11-kpk:sol:unit04
- Question 14(i)===== Insert three arithmetic means between 6 and 41. GOOD ====Solution==== Let $A_1, A_2, A_3$ be three arithmetic means between 6 and 41. Then $6, A_1, A_2, A_3, 41$ are in A.P.... ac{1}{4}.\end{align} Hence three arithmetic means between 6 and 41 are $$14\dfrac{3}{4},23\dfrac{1}{2},32\d... Question 14(ii)===== Insert four arithmetic means between 17 and 32. GOOD ====Solution==== Let $A_1, A_2, A
- Question 16 Exercise 4.2 @math-11-kpk:sol:unit04
- ====Question 16===== Insert five arithmetic means between $5$ and $8$ and show that their sum is five times the arithmetic mean between $5$ and $8$. GOOD ====Solution==== Let $A_1, A_2, A_3, A_4, A_5$ be five arithmetic means between $5$ and $8$. Then $5, A_1, A_2, A_3, A_4, A_5, 8$... },6,\dfrac{13}{2},7, \dfrac{15}{2}$ are five A.Ms between $5$ & $8$. Now \begin{align}A_1&+A_2+A_3+A_4+A_5
- Real Analysis: Short Questions and MCQs @msc:mcqs_short_questions
- Short questions ===== - What is the difference between rational and irrational numbers? - Is there a rational number exists between any two rational numbers. - Is there a real number exists between any two real numbers. - Is the set of rational ... id="601" collapsed="true">(D): All points must be between $1$ and $5$.</collapse> </panel><panel> 2. What
- Question 2 and 3 Exercise 3.3 @math-11-kpk:sol:unit03
- d{align} =====Question 3(i)===== Find the angles between the pairs of vectors: $\hat{i}-\hat{j}+\hat{k}, \... ime}$$. =====Question 3(ii)===== Find the angles between the pairs of vectors: $3 \hat{i}+4 \hat{j}, \quad... }=2 \hat{j}-5 \hat{k}$. Let $\theta$ be the angle between $\vec{a}$ and $\vec{b}$ \begin{align}\text { then... align} =====Question 3(iii)===== Find the angles between the pairs of vectors: $2 \hat{i}-3 \hat{k}, \quad
- Question 12 & 13 Exercise 4.2 @math-11-kpk:sol:unit04
- =====Question 13(i)===== Find the arithmetic mean between $12$ and $18$. GOOD ====Solution==== Here $a=12, ... }\\&=\dfrac{30}{2}=15.\end{align} Hence 15 is A.M between 12 and 18. GOOD =====Question 13(ii)===== Find the arithmetic mean between $\dfrac{1}{3}$ and $\dfrac{1}{4}$. ====Solution==... ===Question 13(iii)===== Find the arithmetic mean between $-6,-216$. GOOD ====Solution==== Here $a=-6, b=-2
- Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
- t if one to one correspondence can be established between them.\\ e.g. $A=\{2,4,6,8\}$, $B=\{a,b,c,d\}$ ... etic Mean:** A number $A$ is said to be the $A.M$ between the two numbers $a$ and $b$. If $a,A,b$ are in $A... ic Mean:** A number is said to be geometric means between two numbers $a$ and $b$. If $a,G,b$ are in $G.P$.... mber $H$ is said to be the harmonic means ($H.M$) between two numbers $a$ and $b$, if $a, H, b$ are in $H.P
- Chapter 08: Analytic Geometry of Three Dimensions @bsc:notes_of_calculus_with_analytic_geometry
- AKISTAN. ====Contents & Summary==== * Distance between two points * Point divining a line segment in a... {R}^3$ * Direction angles of a vector * Angle between the straight line * Distance of a point from a line * Equations for planes * Angle between two planes * Straight line as intersection of two planes * Shortest distance between two straight lines * Cylindrical coordinates
- Chapter 06: Sequences and Series @fsc:fsc_part_1_solutions
- Aritmetic Mean (A.M) * //n// Arithmetic Means between two given Numbers * Exercise 6.3 * Series ... 6 * Geometric Means * //n// Geometric Means between two given numbers * Exercise 6.7 * Sum of /... ) * Harmonic Means * //n// Harmonic Means between two numbers * Relation between Arithmic, Geometric and Harmonic Means * Exercise 6.10 * Sigma Nota
- Unit 04: Sequence and Series (Solutions) @math-11-kpk:sol
- ing arithmetic sequence. * Know arithmetic mean between two * Insert n arithmetic means tEtween two num... series. * Show that sum of $n$ arithmetic means between two numbers is equal to n times their arithmetic ... lving geometric sequence. * Know geometric mean between two numbers. * Insert $n$ geometric means between two numbers. * Define a geometric series. * Find t
- Question 3, Exercise 10.1 @fsc-part1-kpk:sol:unit10
- and $\sin v=\dfrac{4}{5}$ where$u$ and $v$ are between $0$ and $\dfrac{\pi }{2}$, evaluate each of the f... $ and $\sin v=\dfrac{4}{5}$ and $u$ and $v$ are between $0$ and $\dfrac{\pi }{2}$, evaluate each of the ... $ and $\sin v=\dfrac{4}{5}$ and $u$ and $v$ are between $0$ and $\dfrac{\pi }{2}$, evaluate each of the f... and $\sin v=\dfrac{4}{5}$ where$u$ and $v$ are between $0$ and $\dfrac{\pi }{2}$, evaluate each of the f
- Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university