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Important Short Questions.
Chapter No : 01
Important Definitions:
- Complex Number
- Rational Number
- Irrational Number
Exercise 1.1
QUESTION # 1 Part 3 and 4
QUESTION # 4 Part 1
QUESTION # 5
QUESTION # 6 Part 1
Exercise 1.2
QUESTION # 4 part (ii, iii)
QUESTION # 5 Part (iii)
QUESTION # 11
QUESTION # 14 Part (iii)
QUESTION # 15 Part (ii)
QUESTION # 16 Part (i)
Exercise 1.3
QUESTION: 2 Part 1, 4
QUESTION # 3 Part 3 |
QUESTION # 4
QUESTION # 5 Part (2, 4)
QUESTION # 6 part (i,ii)
Theorems:
1. Theorem No 3 and 4 (Pg#21)
2. Associative Law Of Addition and Multiplication (Pg#6,7)
3. Commutative Law Of Addition and Multiplication (Pg#6,7)
4. Distributive Property Of Union over Intersection (Pg#42)
5. Distributive Property Of Intersection over Union (Pg#42)
6. De-Morgan’s Law (Pg#42)
Chapter No : 2
Important Definitions:
- Equal and Equivalent Set
- Singleton Set and Null Set
- Finite and Infinite Set
- Tautology and Absurdity
- Onto Function and Bijective Function
- Binary Operation
- Semi-Group and Monoid
Important Examples
Example # 4 (Pg#53)
Exercise 2.1
QUESTION # 6
QUESTION # 9 Part (ii)
Exercise 2.2
QUESTION # 4 (iv, v, vi)
Exercise 2.3
QUESTION #7 Part (iii)
Exercise 2.4
QUESTION # 1 Part (iii)
QUESTION # 2 Part (ii)
QUESTION # 3 Part (ii)
QUESTION # 4 Part (iii)
Exercise 2.6
QUESTION # 1 Part (ii, iv)
QUESTION # 4 Part (ii, iii)
Chapter No : 3
Important Definitions.
- Rank of a Matrix
- Scalar Matrix and Unit Matrix
- Symmetric Matrix
- Skew-Symmetric Matrix
- Hermitian Matrix
- Diagonal Matrix
Exercise 3.1
QUESTION # 2
QUESTION # 3 Part (i)
QUESTION # 8
QUESTION # 10
Exercise 3.2
QUESTION # 2 Part (iii)
QUESTION # 4 Part (ii)
QUESTION # 6 Part (i, iii)
Exercise 3.3
QUESTION # 1 Part (ii)
QUESTION # 2 Part (ii)
QUESTION # 3 Part (ii, iv)
QUESTION # 5 Part (i, ii)
QUESTION # 6 Part (iii)
Exercise 3.4
QUESTION # 2 Part (i, ii)
QUESTION # 4
QUESTION # 6 Part (i, ii)
Chapter No : 4
Important Definitions.
- Quadratic Equation
- Exponential Equation
- Reciprocal Equation
- Radical Equation
Important Examples
Example # 3 (Pg#144)
Example # 3 (Pg#158)
Exercise 4.1
- QUESTION # 5
- QUESTION # 7
- QUESTION # 11
- QUESTION # 17
- QUESTION # 20
Exercise 4.2
- QUESTION # 5
- QUESTION # 11
- QUESTION # 14
- QUESTION # 16
- QUESTION # 17
- QUESTION # 21
Exercise 4.4
- QUESTION # 1 Part (iv)
- QUESTION # 2 Part (ii, v)
- QUESTION # 3 Part (i)
- QUESTION # 6
- QUESTION # 8 Part (i, iii)
Exercise 4.5
- QUESTION # 2
- QUESTION # 5
- QUESTION # 10
Exercise 4.6
- QUESTION # 1 Part (iv, vi)
- QUESTION # 2
- QUESTION # 4
- QUESTION # 7 Part (iv, vii)
Exercise 4.7
- QUESTION # 1 Part (iii)
- QUESTION # 2 Part (i)
- QUESTION # 3 Part (i, ii)
Exercise 4.8.
- QUESTION # 2
Chapter No : 5
Important Definitions
- Rational Fraction
- Proper and Improper Rational Fraction
Important Examples : Example # 1 (Pg#184)
Exercise 5.1
- QUESTION # 1
- QUESTION # 2
- QUESTION # 3
- QUESTION # 6
Exercise 5.2
- QUESTION # 1
- QUESTION # 3
Exercise 5.3
- QUESTION # 2
Chapter#6
Important Examples: Example # 2 (Pg#193)
Exercise 6.1
- QUESTION #1 Part (vii)
- QUESTION #3 Part (iii)
Exercise 6.2
- QUESTION #2
- QUESTION #4
- QUESTION #6
- QUESTION #9
- QUESTION #13
- QUESTION #14
Exercise 6.3
- QUESTION #1 Part (iii)
- QUESTION #2
- QUESTION #6
Exercise 6.4
- QUESTION #3 Part (i)
- QUESTION #6
- QUESTION #7
- QUESTION #14
- QUESTION #17
- QUESTION #18
Exercise 6.6
- QUESTION #3
- QUESTION #9
- QUESTION #10
- QUESTION #11,
Exercise 6.7
- QUESTION #1 Part (ii)
- QUESTION #2 Part (i)
- QUESTION #7
- QUESTION #8
Exercise 6.8
- QUESTION #2 Part (i)
- QUESTION #4
- QUESTION #9
- QUESTION #14
Exercise 6.10
- QUESTION #1 Part (i)
- QUESTION #4 Part (iii)
- QUESTION #7
- QUESTION #11
- QUESTION #13 Part (iii)
- QUESTION #16
Exercise 6.11
- QUESTION #4
- QUESTION #12
- QUESTION #16 Part (ii)
Chapter No : 07
Important Definitions
- Permutation
- Circular Permutation
- Probability
Important Examples
- Example # 1 and 2 (Pg#234)
- Example # 1 (Pg#237)
- Example # 3 (Pg#238)
- Example # 2 (Pg#250)
Exercise 7.1
- QUESTION #1 Part (x)
- QUESTION #2 Part (v, viii, ix)
Exercise 7.2
- QUESTION #2 Part (ii, iii*)
- QUESTION #3 Part (i)
- QUESTION #4
- QUESTION #6 Part (i)
- QUESTION #14
Exercise 7.3
- QUESTION #1 Part (i, ii, iv)
- QUESTION #4
- QUESTION #11
- QUESTION #12
Exercise 7.4
- QUESTION #2 Part (iii)
- QUESTION #4 (For a : i, ii) (For b : i*, iii*)
- QUESTION #5
- QUESTION #8
Exercise 7.5
- QUESTION #2
- QUESTION #5 Part (i)
Exercise 7.7
- QUESTION #1
- QUESTION #4
- QUESTION #5*
Exercise 7.8
- QUESTION #9
- Prove that : nPn = n!
Chapter No : 8
Important Examples
- Example # 3 Part (ii) (Pg#269)
Exercise 8.2
- QUESTION #1 Part (iv)
- QUESTION #2 Part (i, ii)
- QUESTION #6 Part (i)
- QUESTION #10 Part (i)
Exercise 8.3
- QUESTION #1 Part (i, ii, v)
- QUESTION #2 Part (i, v)
- QUESTION #4 Part (i)
- QUESTION #6
Write down expression of binomial theorem
Chapter No : 9
Important Definitions.
- Radian
- Quadrantel Angle
Exercise 9.1
- QUESTION #1 Part (x, xiii)
- QUESTION #3
- QUESTION #5 Part (ii)
- QUESTION #6 Part (i)
- QUESTION #9
Exercise 9.2
- QUESTION #5
- QUESTION #6
Exercise 9.3
- QUESTION #1 Part (ii, iii)
- QUESTION #2 Part (ii)
- QUESTION #3 (a : iii) (b : ii)
Exercise 9.4
- QUESTION #5
- QUESTION #9
- QUESTION #12
- QUESTION #14
- QUESTION #20
Chapter No : 10
Important Examples
- Example # 2 Part (ii) (Pg#320)
- Example # 3 (Pg#323)
- Example # 3 (Pg#335)
Exercise 10.1
- QUESTION #2 Part (ii)
- QUESTION #3 Part (i)
- QUESTION #5 Part (ii, iv)
Exercise 10.2
- QUESTION #1 Part (v, vii)
- QUESTION #2 Part (iii)
- QUESTION #4 Part (ii, v)
- QUESTION #5
Exercise 10.3
- QUESTION #1 Part (i)
- QUESTION #3
- QUESTION #4
- QUESTION #10
Exercise 10.4
- QUESTION #1 Part (v, vii)
- QUESTION #2 Part (ii, iv, vi)
- QUESTION #3 Part (i)
Chapter No : 11
Important Definitions.
- Period
Exercise 11.1
- QUESTION #3
- QUESTION #4
- QUESTION #8
- QUESTION #11
- QUESTION #13
- QUESTION #15
Find Domain and Range Of :
- y=sec x
- y=tan x
- y=cos x
- y=cosec x
Chapter No : 12
Important Definitions.
- Angle of Elevation
- Angle of Depression
- Oblique Triangle
Important Examples
- Example # 1 (Pg#375)
- Example # 1 Part (i) (Pg#381)
Exercise 12.2
- QUESTION #7Exercise 12.3 : QUESTION #3*, QUESTION #6
Exercise 12.4
- QUESTION #4
Exercise 12.5
- QUESTION #11*
Exercise 12.6
- QUESTION #7
- QUESTION #8
Exercise 12.7
- QUESTION #3 Part (i)
- QUESTION #4
Exercise 12.8
- QUESTION #5 Part (ii)
- QUESTION #12 Part (i)
Chapter#13
Important Examples
- Example # 1 Part (ii) (Pg#388)
- Example # 4 (Pg#396)
- Ex#2(i, ii) (Pg#390)
Exercise 13.1
- QUESTION #1 Part (iv)
- QUESTION #2 Part (i, iii)
- QUESTION #3 Part (vii)
Exercise 13.2
- QUESTION #2
- QUESTION #20
Chapter No : 14
Important Definitions.
- Trigonometric Equation
Important Examples
- Example # 1 (Pg#401)
- Example # 3 (Pg#402)
- Example # 1 (Pg#403)
- Example # 2 (Pg#403)
- Example # 3 (Pg#404)
Exercise 14
- QUESTION #1 Part (iii)
- QUESTION #2 Part (iii)
- QUESTION #16
Important Long Question FSc Part-1
| Exercise No | Question Numbers |
|---|---|
| Examples | Example # 15 (Pg#75) |
| Exercise 2.3 | QUESTION #3 |
| Exercise 2.4 | QUESTION #5 |
| Exercise 2.5 | QUESTION #1 QUESTION #4 |
| Exercise 2.8 | QUESTION #5 QUESTION #6 |
| Exercise 3.2 | QUESTION # 9 part (i) |
| Exercise 3.3 | QUESTION #3 part (iii, xi) QUESTION #4 part (i) QUESTION #8 QUESTION #15 |
| Exercise 3.4 | QUESTION # 8 |
| Exercise 3.5 | QUESTION #2 part (i) |
| Examples | Example # 5 (Pg#146) |
| Exercise 4.2 | QUESTION #15 QUESTION #20 QUESTION #24 |
| Exercise 4.3 | QUESTION #6 QUESTION #9 |
| Exercise 4.4 | QUESTION #3 part (iii) |
| Exercise 4.5 | QUESTION #14 |
| Exercise 4.6 | QUESTION #3 part (ii) QUESTION #6 QUESTION #8 |
| Exercise 4.7 | QUESTION #4 part (ii) QUESTION #6 QUESTION #7 |
| Exercise 4.8 | QUESTION #5 |
| Exercise 4.9 | QUESTION #8 QUESTION #9 |
| Examples | Examples : Ex#1 (Pg#188) |
| Exercise 5.1 | QUESTION #5 |
| Exercise 5.2 | QUESTION #2 QUESTION #4 QUESTION #5 |
| Exercise 5.3 | QUESTION #3 QUESTION #9 |
| Exercise 6.3 | QUESTION #7 QUESTION #8* |
| Exercise 6.4 | QUESTION #4 part (i) QUESTION #15 |
| Exercise 6.6 | QUESTION #12 |
| Exercise 6.7 | QUESTION #4 QUESTION #6 |
| Exercise 6.8 | QUESTION #14 |
| Exercise 6.10 | QUESTION #9 QUESTION #18 |
| Examples | Example #3 (Pg#241) |
| Exercise 7.2 | QUESTION #3(ii) |
| Exercise 7.3 | QUESTION #5 |
| Exercise 7.4 | QUESTION #3 part (ii) QUESTION #10 |
| Exercise 8.1 | QUESTION #12 |
| Exercise 8.2 | QUESTION #6(ii) |
| Exercise 8.3 | QUESTION #4 part (v) QUESTION #7 QUESTION #9 part (iii) QUESTION #10 QUESTION #11 |
| Exercise 9.2 | QUESTION # 8 |
| Exercise 9.3 | QUESTION # 5 part (iii) QUESTION #6 part (viii) |
| Exercise 9.4 | QUESTION # 24 |
| Examples | Example # 3 (Pg#331) Example # 2 (Pg#322) Example # 4 (Pg#324) |
| Exercise 10.2 | QUESTION # 9 part (iv, v) QUESTION # 11 QUESTION # 13 QUESTION #14 part (ii) |
| Exercise 10.3 | QUESTION # 14 |
| Exercise 12.8 | QUESTION # 3 part (i) QUESTION # 8 part (i) QUESTION # 9 part (i) QUESTION # 11 |
| Exercise 13.2 | QUESTION # 1 QUESTION # 9 QUESTION # 11 QUESTION # 12 |
| Prove | 1* (Pg#398) |
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