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Matching pagenames:
- Unit 01: Complex Numbers (Solutions)
- Unit 02: Matrices and Determinants (Solutions)
- Unit 04: Sequences and Seeries
- Unit 05: Polynomials
- Unit 06: Permutation and Combination
- Unit 08: Fundamental of Trigonometry
- Unit 09: Trigonometric Functions
- 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
- Question 1, Exercise 2.1
- Question 2, Exercise 2.1
- Question 3, Exercise 2.1
- Question 4, Exercise 2.1
- Question 1, Exercise 2.2
- Question 3, Exercise 2.2
- Question 3, Exercise 2.2
- Question 4, Exercise 2.2
- Question 5, Exercise 2.2
- Question 6, Exercise 2.2
- Question 7, Exercise 2.2
- Question 8, Exercise 2.2
- Question 9, Exercise 2.2
- Question 10, Exercise 2.2
- Question 11, Exercise 2.2
- Question 12, Exercise 2.2
- Question 13, Exercise 2.2
- Question 1, Exercise 2.3
- Question 2, Exercise 2.3
- Question 3, Exercise 2.3
- Question 4, Exercise 2.3
- Question 5, Exercise 2.3
- Question 6, Exercise 2.3
- Question 7, Exercise 2.3
- Question 1, Exercise 2.5
- Question 2, Exercise 2.5
- Question 3, Exercise 2.5
- Question 1, Exercise 2.6
- Question 2, Exercise 2.6
- Question 3, Exercise 2.6
- Question 4, Exercise 2.6
- Question 5, Exercise 2.6
- Question 6, Exercise 2.6
- Question 7 and 8, Exercise 2.6
- Question 9 and 10, Exercise 2.6
- Question 1, Review Exercise
- Question 2 and 3, Review Exercise
- Question 4 and 5, Review Exercise
- Question 1 and 2, Exercise 4.1
- Question 3 and 4, Exercise 4.1
- Question 5 and 6, Exercise 4.1
- Question 7 and 8, Exercise 4.1
- Question 9 and 10, Exercise 4.1
- Question 11 and 12, Exercise 4.1
- Question 13 and 14, Exercise 4.1
- Question 15 and 16, Exercise 4.1
- Question 17 and 18, Exercise 4.1
- Question 19 and 20, Exercise 4.1
- Question 21 and 22, Exercise 4.1
- Question 1, Exercise 4.2
- Question 2, Exercise 4.2
- Question 3 and 4, Exercise 4.2
- Question 5 and 6, Exercise 4.2
- Question 7 and 8, Exercise 4.2
- Question 9 and 10, Exercise 4.2
- Question 11 and 12, Exercise 4.2
- Question 13, Exercise 4.2
- Question 14 and 15, Exercise 4.2
- Question 16 and 17, Exercise 4.2
- Question 1 and 2, Exercise 4.3
- Question 3 and 4, Exercise 4.3
- Question 5 and 6, Exercise 4.3
- Question 7 and 8, Exercise 4.3
- Question 9 and 10, Exercise 4.3
- Question 11 and 12, Exercise 4.3
- Question 13 and 14, Exercise 4.3
- Question 15 and 16, Exercise 4.3
- Question 17, 18 and 19, Exercise 4.3
- Question 20, 21 and 22, Exercise 4.3
- Question 23 and 24, Exercise 4.3
- Question 25 and 26, Exercise 4.3
- Question 1 and 2, Exercise 4.4
- Question 3 and 4, Exercise 4.4
- Question 5, 6 and 7, Exercise 4.4
- Question 8 and 9, Exercise 4.4
- Question 10 and 11, Exercise 4.4
- Question 12 and 13, Exercise 4.4
- Question 14 and 15, Exercise 4.4
- Question 16 and 17, Exercise 4.4
- Question 18 and 19, Exercise 4.4
- Question 20 and 21, Exercise 4.4
- Question 22 and 23, Exercise 4.4
- Question 24 and 25, Exercise 4.4
- Question 26 and 27, Exercise 4.4
- Question 28 and 29, Exercise 4.4
- Question 30, Exercise 4.4
- Question 1 and 2, Exercise 4.5
- Question 3 and 4, Exercise 4.5
- Question 5 and 6, Exercise 4.5
- Question 7 and 8, Exercise 4.5
- Question 9 and 10, Exercise 4.5
- Question 11, 12 and 13, Exercise 4.5
- Question 14, Exercise 4.5
- Question 15, Exercise 4.5
- Question 16, Exercise 4.5
- Question 1 and 2, Exercise 4.6
- Question 3 & 4, Exercise 4.6
- Question 5 & 6, Exercise 4.6
- Question 7 & 8, Exercise 4.6
- Question 9 & 10, Exercise 4.6
- Question 11, Exercise 4.6
- Question 12, Exercise 4.6
- Question 1 and 2, Exercise 4.7
- Question 3 and 4, Exercise 4.7
- Question 5 and 6, Exercise 4.7
- Question 7 and 8, Exercise 4.7
- Question 9 and 10, Exercise 4.7
- Question 11, 12 and 13, Exercise 4.7
- Question 14, 15 and 16, Exercise 4.7
- Question 17 and 18, Exercise 4.7
- Question 19 and 20, Exercise 4.7
- Question 19 and 20, Exercise 4.7
- Question 21 and 22, Exercise 4.7
- Question 23 and 24, Exercise 4.7
- Question 25 and 26, Exercise 4.7
- Question 27 and 28, Exercise 4.7
- Question 29 and 30, Exercise 4.7
- Question 1 and 2, Exercise 4.8
- Question 3 and 4, Exercise 4.8
- Question 5 and 6, Exercise 4.8
- Question 7 and 8, Exercise 4.8
- Question 9 and 10, Exercise 4.8
- Question 11 and 12, Exercise 4.8
- Question 13, 14 and 15, Exercise 4.8
- Question 1, Exercise 5.1
- Question 2 and 3, Exercise 5.1
- Question 4 and 5, Exercise 5.1
- Question 6 and 7, Exercise 5.1
- Question 8 and 9, Exercise 5.1
- Question 10, Exercise 5.1
- Question 1 and 2, Exercise 5.2
- Question 3 and 4, Exercise 5.2
- Question 5 and 6, Exercise 5.2
- Question 7 and 8, Exercise 5.2
- Question 1, Exercise 5.3
- Question 2, Exercise 5.3
- Question 3, Exercise 5.3
- Question 4, Exercise 5.3
- Question 5, Exercise 5.3
- Question 6, Exercise 5.3
- Question 2, Review Exercise
- Question 1, Review Exercise
- Question 2 & 3, Review Exercise
- Question 4 & 5, Review Exercise
- Question 6 & 7, Review Exercise
- Question 8, Review Exercise
- Question 6, Review Exercise
- Question 7, Review Exercise
- Question 8, Review Exercise
- Exercise 6.1 (Solutions)
- Question 1, Exercise 6.1
- Question 2, Exercise 6.1
- Question 3 and 4, Exercise 6.1
- Question 5, Exercise 6.1
- Question 6(i-v), Exercise 6.1
- Question 6(vi-ix), Exercise 6.1
- Question 7(i-vi), Exercise 6.1
- Question 7(vii-xi), Exercise 6.1
- Exercise 6.2 (Solutions)
- Question 1, Exercise 6.2
- Question 2, Exercise 6.2
- Question 3, Exercise 6.2
- Question 4 and 5, Exercise 6.2
- Question 6 and 7, Exercise 6.2
- Question 8 and 9, Exercise 6.2
- Question 10 and 11, Exercise 6.2
- Question 12 and 13, Exercise 6.2
- Question 14 and 15, Exercise 6.2
- Question 16 and 17, Exercise 6.2
- Question 18 and 19, Exercise 6.2
- Question 20 and 21, Exercise 6.2
- Question 22 and 23, Exercise 6.2
- Exercise 6.3 (Solutions)
- Question 1(i-v), Exercise 6.3
- Question 1(vi-x), Exercise 6.3
- Question 2, Exercise 6.3
- Question 3, Exercise 6.3
- Question 4, Exercise 6.3
- Question 5 and 6, Exercise 6.3
- Question 7 and 8, Exercise 6.3
- Question 9 and 10, Exercise 6.3
- Question 11 and 12, Exercise 6.3
- Question 13 and 14, Exercise 6.3
- Question 1, Review Exercise 6
- Question 2 and 3, Review Exercise 6
- Question 4, 5 and 6, Review Exercise 6
- Review Exercise (Solutions)
- Question 1, Exercise 8.1
- Question 2, Exercise 8.1
- Question 3, Exercise 8.1
- Question 4, Exercise 8.1
- Question 5 and 6, Exercise 8.1
- Question 7, Exercise 8.1
- Question 8, Exercise 8.1
- Question 9, Exercise 8.1
- Question 10, Exercise 8.1
- Question 11, Exercise 8.1
- Question 12, Exercise 8.1
- Question 13, Exercise 8.1
- Question 14, Exercise 8.1
- Question 1, 2 and 3 Exercise 8.2
- Question 4 Exercise 8.2
- Question 5 Exercise 8.2
- Question 6 Exercise 8.2
- Question 7 Exercise 8.2
- Question 8(i, ii & iii) Exercise 8.2
- Question 8(iv, v & vi) Exercise 8.2
- Question 8(vii, viii & ix) Exercise 8.2
- Question 8(x, xi & xii) Exercise 8.2
- Question 8(xiii, xiv & xv) Exercise 8.2
- Question 8(xvi, xvii & xviii) Exercise 8.2
- Question 8(xix, xx, xxi & xxii) Exercise 8.2
- Question 1(i, ii, iii & iv) Exercise 8.3
- Question 1(v, vi, vii & viii) Exercise 8.3
- Question 1(ix, x & xi) Exercise 8.3
- Question 2(i, ii, iii, iv and v) Exercise 8.3
- Question 3(i, ii, iii, iv & v) Exercise 8.3
- Question 3(vi, vii, viii, ix & x) Exercise 8.3
- Question 3(xi, xii & xiii) Exercise 8.3
- Question 4 Exercise 8.3
- Question 1, Review Exercise
- Question 2, Review Exercise
- Question 3, Review Exercise
- Question 4, Review Exercise
- Question 5 and 6, Review Exercise
- Question 7, Review Exercise
- Question 8, Review Exercise
- Question 9, Review Exercise
- Question 10, Review Exercise
- Question 1, Exercise 9.1
- Question 2, Exercise 9.1
- Question 3, Exercise 9.1
- Question 4(i-iv), Exercise 9.1
- Question 4(v-viii), Exercise 9.1
- Question 5(i-v), Exercise 9.1
- Question 5(vi-x), Exercise 9.1
- Question 6, Exercise 9.1
- Question 7 & 8, Exercise 9.1
- Question 9, Exercise 9.1
- Question 10, Exercise 9.1
- Question 2 and 3,Review Exercise
- Question 4, Review Exercise
- Question 1,Review Exercise
- Question 2 and 3, Review Exercise
- Question 4, Review Exercise
- Question 5 and 6, Review Exercise
- Question 7, Review Exercise
- Question 8, Review Exercise
- Question 9, Review Exercise
- Question 10(i-v), Review Exercise
- Question 10(vi-x), Review Exercise
- Question 10(xi-xv), Review Exercise
Fulltext results:
- Unit 04: Sequences and Seeries
- abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit ... two numbers is equal to $n$ times their A.M. * Solve real life problems involving arithmetic sequenc... ries. <panel type="default" title="Exercise 4.1 (Solutions)"> * [[math-11-nbf:sol:unit04:ex4-1-p1|Question 1 & 2]] * [[math-11-nbf:sol:unit04:ex4-1-p2|
- Unit 01: Complex Numbers (Solutions)
- ===== Unit 01: Complex Numbers (Solutions) ===== {{ :math-11-nbf:sol:math-11-nbf-sol-unit01.jpg?nolink&400x335|Unit 01: Complex Numbers (Solutions)}} This is a first unit of the book Model T
- Unit 08: Fundamental of Trigonometry
- undamental of Trigonometry ====== {{ :math-11-nbf:sol:math-11-nbf-unit-08.jpg?nolink&477x400|Unit 08: F... abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit ... <panel type="default" title="Exercise 8.1 (Solutions)"> * [[math-11-nbf:sol:unit08:ex8-1-p1|Question 1]] * [[math-11-nbf:sol:unit08:ex8-1-p2|Ques
- Exercise 6.2 (Solutions) @math-11-nbf:sol:unit06
- ====== Exercise 6.2 (Solutions) ====== The solutions of the Exercise 6.1 of book “Model Textbook of Mathematics for Class XI” p... ${ }^n P_n=2 \cdot{ }^n P_{n-2}$\\ [[math-11-nbf:sol:unit06:ex6-2-p1|Solution Question 1]] **Question 2.** Find $n$, if:\\ (i) $\quad n P_4=20^n P_2$ (ii)
- Unit 02: Matrices and Determinants (Solutions)
- ===== Unit 02: Matrices and Determinants (Solutions) ===== This is a second unit of the book Model Tex... abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit ... to <panel type="default" title="Exercise 2.1 (Solutions)"> * [[math-11-nbf:sol:unit02:ex2-1-p1|Question 1]] * [[math-11-nbf:sol:unit02:ex2-1-p2|Ques
- Exercise 6.3 (Solutions) @math-11-nbf:sol:unit06
- ====== Exercise 6.3 (Solutions) ====== The solutions of the Exercise 6.3 of book “Model Textbook of Mathematics for Class XI” p... +{ }^{n} C_{r-1}={ }^{n+1} C_{r}$\\ [[math-11-nbf:sol:unit06:ex6-3-p1|Solution: Question 1(i-v)]] **Question 1(vi-x).** Prove the following for $n \in \mat
- Unit 05: Polynomials
- ===== Unit 05: Polynomials ====== {{ :math-11-nbf:sol:math-11-nbf-unit-05.jpg?nolink|Unit 05: Polynomia... abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit ... . <panel type="default" title="Exercise 5.1 (Solutions)"> * [[math-11-nbf:sol:unit05:ex5-1-p1|Question 1]] * [[math-11-nbf:sol:unit05:ex5-1-p2|Ques
- Unit 09: Trigonometric Functions
- abad, Pakistan. On this page we have provided the solutions of the questions. After reading this unit ... eta$ <panel type="default" title="Exercise 9.1 (Solutions)"> * [[math-11-nbf:sol:unit09:ex9-1-p1|Question 1]] * [[math-11-nbf:sol:unit09:ex9-1-p2|Question 2 ]] * [[math-11-nbf:sol
- Question 1, Exercise 2.6 @math-11-nbf:sol:unit02
- ====== Question 1, Exercise 2.6 ====== Solutions of Question 1 of Exercise 2.6 of Unit 02: Matrices and... d, Islamabad, Pakistan. =====Question 1(i)===== Solve the system of homogeneous linear equation for non-trivial solution if exists\\ $ 2 x_{1}-3 x_{2}+4 x_{3}=0$\\ $... _{2}+3 x_{3}=0$\\ $4 x_{1}+x_{2}-6 x_{3}=0$\\ ** Solution. ** \begin{align*} &2 x_{1}-3 x_{2}+4 x_{3}=
- Exercise 6.1 (Solutions) @math-11-nbf:sol:unit06
- ====== Exercise 6.1 (Solutions) ====== The solutions of the Exercise 6.1 of book “Model Textbook of Mathematics for Class XI” p... -2)!}$ (v) $\dfrac{8!}{(6!)^2}$ \\ [[math-11-nbf:sol:unit06:ex6-1-p1|Solution: Question 1]] **Question 2.** Write the following in factorial form:\\ (i) 1
- Question 2, Exercise 1.3 @math-11-nbf:sol:unit01
- ====== Question 2, Exercise 1.3 ====== Solutions of Question 2 of Exercise 1.3 of Unit 01: Complex Numb... ard, Islamabad, Pakistan. ====Question 2(i)==== Solve the equation by completing square: $z^{2}-6 z+2=0$. **Solution.** \begin{align} & z^2 - 6z + 2 = 0 \\ \imp... \\ \implies &z = 3 \pm \sqrt{7}\end{align} Hence Solutioin set=$\{3 \pm \sqrt{7}\}$. ====Question 2(
- Question 3, Exercise 1.3 @math-11-nbf:sol:unit01
- ====== Question 3, Exercise 1.3 ====== Solutions of Question 3 of Exercise 1.3 of Unit 01: Complex Numb... ard, Islamabad, Pakistan. ====Question 3(i)==== Solve the quadratic equation: $\dfrac{1}{3} z^{2}+2 z-16=0$. **Solution.** Given \begin{align}&\dfrac{1}{3}z^{2}+2 z... 57}}}{2} \\ &= -3 \pm \sqrt{57} \end{align} Hence Solution set $=\{ -3 \pm \sqrt{57} \}$. ====Questio
- Question 3, Exercise 2.6 @math-11-nbf:sol:unit02
- ====== Question 3, Exercise 2.6 ====== Solutions of Question 3 of Exercise 2.6 of Unit 02: Matrices and... d, Islamabad, Pakistan. =====Question 3(i)===== Solve the system of linear equation by Gauss eliminat... x+3 y+4 z=2$\\ $2 x+y+z=5$\\ $3 x-2 y+z=-3$\\ ** Solution. ** Given the system of equations: \begin{al... x &= \frac{46}{19} \end{align*} Therefore, the solution to the system is: $$x = \frac{46}{19}, \qu
- Question 5, Exercise 2.6 @math-11-nbf:sol:unit02
- ====== Question 5, Exercise 2.6 ====== Solutions of Question 5 of Exercise 2.6 of Unit 02: Matrices and... d, Islamabad, Pakistan. =====Question 5(i)===== Solve the system of linear equation by using Cramer's... }+3 x_{3}=1$\\ $3 x_{1}-7 x_{2}+4 x_{3}=10$\\ ** Solution. ** The above system may be written as $A X=... 2}\\ &= \frac{104}{52} = 2 \end{align*} Thus, the solution set is $(3, 1, 2)$. =====Question 5(ii)==
- Question 2, Exercise 2.6 @math-11-nbf:sol:unit02
- ====== Question 2, Exercise 2.6 ====== Solutions of Question 2 of Exercise 2.6 of Unit 02: Matrices and... homogeneous linear equation may have non-trivial solution. Also solve the system for value of $\lambda$.\\ $2 x_{1}-\lambda x_{2}+x_{3}=0$\\ $2 x_{1}+3 x_{2}-x_{3}=0$\\ $3 x_{1}-2 x_{2}+4 x_{3}=0$\\ ** Solution. ** \begin{align*} &2 x_{1}-\lambda x_{2}+x_