Search
You can find the results of your search below.
Fulltext results:
- Unit 04: Sequences and Seeries
- olutions)"> * [[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-nbf:sol:unit04:ex4-1-p5|Questi
- Exercise 6.2 (Solutions) @math-11-nbf:sol:unit06
- given on this page. This exercise consists of the question related to factorial function. The book misses t... t{ if } n=0. \end{array} \right. $$ </callout> **Question 1.** Prove the following for $n \in \mathbb{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) ${ }^{2 n} P_3=100{ }^n P_2$ (iii) $16
- Unit 08: Fundamental of Trigonometry
- olutions)"> * [[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:unit08:ex8-1-p4|Question 4]] * [[math-11-nbf:sol:unit08:ex8-1-p5|Question 5 & 6
- Unit 01: Complex Numbers (Solutions)
- olutions)"> * [[math-11-nbf:sol:unit01:ex1-1-p1|Question 1]] * [[math-11-nbf:sol:unit01:ex1-1-p2|Question 2]] * [[math-11-nbf:sol:unit01:ex1-1-p3|Question 3]] * [[math-11-nbf:sol:unit01:ex1-1-p4|Question 4]] * [[math-11-nbf:sol:unit01:ex1-1-p5|Question 5]]
- Unit 02: Matrices and Determinants (Solutions)
- olutions)"> * [[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="default" title="Exercise 2.2 (
- Exercise 6.3 (Solutions) @math-11-nbf:sol:unit06
- given on this page. This exercise consists of the question related to factorial function. **Question 1(i-v).** Prove the following for $n \in \mathbb{N}$.\\ (i) ${ ... r}$\\ [[math-11-nbf:sol:unit06:ex6-3-p1|Solution: Question 1(i-v)]] **Question 1(vi-x).** Prove the following for $n \in \mathbb{N}$.\\ (vi) ${ }^{2 n} \mathrm{C}_{\
- Unit 05: Polynomials
- olutions)"> * [[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-nbf:sol:unit05:ex5-1-p4|Question 6 & 7]] * [[math-11-nbf:sol:unit05:ex5-1-p5|Questi
- Unit 09: Trigonometric Functions
- olutions)"> * [[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-nbf:sol:unit09:ex9-1-p5|Question
- Exercise 6.1 (Solutions) @math-11-nbf:sol:unit06
- given on this page. This exercise consists of the question related to factorial function. The book misses t... t{ if } n=0. \end{array} \right. $$ </callout> **Question 1.** Evaluate the following:\\ (i) $10!$ (ii) $\d... $ \\ [[math-11-nbf:sol:unit06:ex6-1-p1|Solution: Question 1]] **Question 2.** Write the following in factorial form:\\ (i) 14.13 .12 .11 (ii) 1.3.5.7.9 (iii) $n\lef
- Question 1, Exercise 1.3 @math-11-nbf:sol:unit01
- ====== Question 1, Exercise 1.3 ====== Solutions of Question 1 of Exercise 1.3 of Unit 01: Complex Numbers. This is unit of... ederal Textbook Board, Islamabad, Pakistan. ====Question 1(i)==== Factorize the polynomial into linear fun... (13i)^2 \\ = &(z + 13i)(z - 13i). \end{align} ====Question 1(ii)==== Factorize the polynomial into linear fu
- Question 6(i-ix), Exercise 1.4 @math-11-nbf:sol:unit01
- ====== Question 6(i-ix), Exercise 1.4 ====== Solutions of Question 6(i-ix) of Exercise 1.4 of Unit 01: Complex Numbers. Thi... deral Textbook Board, Islamabad, Pakistan. =====Question 6(i)===== Write a given complex number in the al... {i}{\sqrt{2}} \right) \\ =& 1-i. \end{align} =====Question 6(ii)===== Write a given complex number in the al
- Question 2, Exercise 6.2 @math-11-nbf:sol:unit06
- ====== Question 2, Exercise 6.2 ====== Solutions of Question 2 of Exercise 6.2 of Unit 06: Permutation and Combination. Thi... deral Textbook Board, Islamabad, Pakistan. =====Question 2(i)===== Find $n$, if: $\quad ^nP_4=20\, ^nP_2$ ... n$ should be a positive integer, so $n=7$\\ =====Question 2(ii)===== Find $n$, if: $\quad ^{2n}P_3=100 \, ^
- Question 2, Exercise 1.1 @math-11-nbf:sol:unit01
- ====== Question 2, Exercise 1.1 ====== Solutions of Question 2 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of... ederal Textbook Board, Islamabad, Pakistan. ====Question 2(i)==== Write the following complex number in th... )\\ =&(3+2)+(i2+i4)\\ =&5+i6\end{align} GOOD ====Question 2(ii)==== Write the following complex number in t
- Question 6(x-xvii), Exercise 1.4 @math-11-nbf:sol:unit01
- ====== Question 6(x-xvii), Exercise 1.4 ====== Solutions of Question 6(x-xvii) of Exercise 1.4 of Unit 01: Complex Numbers.... deral Textbook Board, Islamabad, Pakistan. =====Question 6(x)===== Write a given complex number in the alg... tion. ** //Do yourself as previous parts.// =====Question 6(xi)===== Write a given complex number in the al
- Review Exercise (Solutions) @math-11-nbf:sol:unit06
- Islamabad, Pakistan are given on this page. **Question 1.** Select the best matching option. Choose the ... . \\ [[math-11-nbf:sol:unit06:Re-ex6-p1|See MCQs: Question 1]] **Question 2.** How many words can be formed by using $4$ distinct alphabets?\\ [[math-11-nbf:sol:unit06:Re-ex6-p2|Solution: Question 2 & 3 ]] **Question 3.** How many $3$-digit numb