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- Solutions: Math 11 NBF
- 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 @math-11-nbf:sol
- tle="Exercise 4.1 (Solutions)"> * [[math-11-nbf:sol:unit04:ex4-1-p1|Question 1 & 2]] * [[math-11-nbf:sol:unit04:ex4-1-p2|Question 3 & 4]] * [[math-11-nbf:sol:unit04:ex4-1-p3|Question 5 & 6]] * [[math-11-nbf:sol:unit04:ex4-1-p4|Question 7 & 8]] * [[math-11-nb
- Unit 08: Fundamental of Trigonometry @math-11-nbf:sol
- undamental of Trigonometry ====== {{ :math-11-nbf:sol:math-11-nbf-unit-08.jpg?nolink&477x400|Unit 08: F... tle="Exercise 8.1 (Solutions)"> * [[math-11-nbf:sol:unit08:ex8-1-p1|Question 1]] * [[math-11-nbf:sol:unit08:ex8-1-p2|Question 2 ]] * [[math-11-nbf:sol:unit08:ex8-1-p3|Question 3]] * [[math-11-nbf:sol
- Unit 01: Complex Numbers (Solutions) @math-11-nbf:sol
- 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 ... tle="Exercise 1.1 (Solutions)"> * [[math-11-nbf:sol:unit01:ex1-1-p1|Question 1]] * [[math-11-nbf:sol:unit01:ex1-1-p2|Question 2]] * [[math-11-nbf:sol:
- Unit 02: Matrices and Determinants (Solutions) @math-11-nbf:sol
- tle="Exercise 2.1 (Solutions)"> * [[math-11-nbf:sol:unit02:ex2-1-p1|Question 1]] * [[math-11-nbf:sol:unit02:ex2-1-p2|Question 2]] * [[math-11-nbf:sol:unit02:ex2-1-p3|Question 3]] * [[math-11-nbf:sol:unit02:ex2-1-p4|Question 4]] </panel> <panel type="
- Exercise 6.2 (Solutions) @math-11-nbf:sol:unit06
- ${ }^n P_n=2 \cdot{ }^n P_{n-2}$\\ [[math-11-nbf:sol:unit06:ex6-2-p1|Solution Question 1]] **Question... P_n:{ }^{2 n+1} P_{n-1}=22: 7$ \\ [[math-11-nbf:sol:unit06:ex6-2-p2|Solution: Question 2 ]] **Questi... _{r+3}:{ }^{56} P_{r+6}=1: 30800$\\ [[math-11-nbf:sol:unit06:ex6-2-p3|Solution: Question 3 ]] **Questi... , if the digits are not repeated?\\ [[math-11-nbf:sol:unit06:ex6-2-p4|Solution: Question 4 & 5 ]] **Qu
- Unit 05: Polynomials @math-11-nbf:sol
- ===== Unit 05: Polynomials ====== {{ :math-11-nbf:sol:math-11-nbf-unit-05.jpg?nolink|Unit 05: Polynomia... tle="Exercise 5.1 (Solutions)"> * [[math-11-nbf:sol:unit05:ex5-1-p1|Question 1]] * [[math-11-nbf:sol:unit05:ex5-1-p2|Question 2 & 3]] * [[math-11-nbf:sol:unit05:ex5-1-p3|Question 4 & 5]] * [[math-11-nb
- Unit 09: Trigonometric Functions @math-11-nbf:sol
- tle="Exercise 9.1 (Solutions)"> * [[math-11-nbf:sol:unit09:ex9-1-p1|Question 1]] * [[math-11-nbf:sol:unit09:ex9-1-p2|Question 2 ]] * [[math-11-nbf:sol:unit09:ex9-1-p3|Question 3]] * [[math-11-nbf:sol:unit09:ex9-1-p4|Question 4(i-iv)]] * [[math-11-nb
- Exercise 6.3 (Solutions) @math-11-nbf:sol:unit06
- +{ }^{n} C_{r-1}={ }^{n+1} C_{r}$\\ [[math-11-nbf:sol:unit06:ex6-3-p1|Solution: Question 1(i-v)]] **Qu... ve integers is divisible by $k$ !\\ [[math-11-nbf:sol:unit06:ex6-3-p2|Solution: Question 1(vi-x) ]] **... ^{2 n} C_{3}:{ }^{n} C_{2}=12: 1$\\ [[math-11-nbf:sol:unit06:ex6-3-p3|Solution: Question 2 ]] **Questi... \mathrm{C}_{\mathrm{r}-1}=11: 5$\\ [[math-11-nbf:sol:unit06:ex6-3-p4|Solution: Question 3 ]] **Questi
- Exercise 6.1 (Solutions) @math-11-nbf:sol:unit06
- -2)!}$ (v) $\dfrac{8!}{(6!)^2}$ \\ [[math-11-nbf:sol:unit06:ex6-1-p1|Solution: Question 1]] **Questio... $\frac{(n-3)(n-2)(n-1)}{n(n-4)}$\\ [[math-11-nbf:sol:unit06:ex6-1-p2|Solution: Question 2 ]] **Questi... rac{(n-1)!}{(n-3)!}=n^{2}-3 n+2$ \\ [[math-11-nbf:sol:unit06:ex6-1-p3|Solution: Question 3 & 4]] **Que... !}=2^{n-1}(1.3 .5 \ldots(2 n-1))$\\ [[math-11-nbf:sol:unit06:ex6-1-p3|Solution: Question 3 & 4]] **Que
- Solutions: Math 11 NBF
- ns: Math 11 NBF====== {{ :math-11-nbf:math-11-nbf-sol.jpg?nolink&400x335|Solutions of Model Textbook of... ===== List of chapters ===== * [[math-11-nbf:sol:unit01]] * [[math-11-nbf:sol:unit02]] * [[math-11-nbf:sol:unit04]] * [[math-11-nbf:sol:unit05]] * [[math-11-nbf:sol:unit06]]
- Review Exercise (Solutions) @math-11-nbf:sol:unit06
- tion. Choose the correct option. \\ [[math-11-nbf:sol:unit06:Re-ex6-p1|See MCQs: Question 1]] **Questi... by using $4$ distinct alphabets?\\ [[math-11-nbf:sol:unit06:Re-ex6-p2|Solution: Question 2 & 3 ]] **Q... ere which has $0$ at unit place?\\ [[math-11-nbf:sol:unit06:Re-ex6-p2|Solution: Question 2 & 3 ]] **... $0,2,3,4,5,7$ without repeating?\\ [[math-11-nbf:sol:unit06:Re-ex6-p3|Solution: Question 4, 5 & 6 ]]
- Unit 06: Permutation and Combination @math-11-nbf:sol
- r exercises in this chapter. * **[[math-11-nbf:sol:unit06:ex6-1]]** * **[[math-11-nbf:sol:unit06:ex6-2]]** * **[[math-11-nbf:sol:unit06:ex6-3]]** * **[[math-11-nbf:sol:unit06:rev-ex]]**
- Question 5, Exercise 5.3 @math-11-nbf:sol:unit05
- Pakistan. =====Question 5===== {{ :math-11-nbf:sol:unit05:math-11-nbf-ex5-3-q5.png?nolink&400|Pictur... xt align="left"><btn type="primary">[[math-11-nbf:sol:unit05:ex5-3-p4|< Question 4]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit05:ex5-3-p6|Question 6>]]</btn></text>
- Question 2, Exercise 9.1 @math-11-nbf:sol:unit09
- e{Cos} \theta}$ ** Solution. ** {{ :math-11-nbf:sol:unit09:math-11-nbf-ex9-1-q2_ii_.png?400 |Graph of... xt align="left"><btn type="primary">[[math-11-nbf:sol:unit09:ex9-1-p1|< Question 1 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit09:ex9-1-p3|Question 3 >]]</btn></text>
- Question 2, Exercise 1.1 @math-11-nbf:sol:unit01
- xt 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></text> =====