Math Chapter Wise Guess Paper for 1st Year Examination

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Important Short Questions.

Chapter No : 01

Important Definitions:

1. Complex Number
2. Rational Number
3. 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:

1. Equal and Equivalent Set
2. Singleton Set and Null Set
3. Finite and Infinite Set
4. Tautology and Absurdity
5. Onto Function and Bijective Function
6. Binary Operation
7. 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.

1. Rank of a Matrix
2. Scalar Matrix and Unit Matrix
3. Symmetric Matrix
4. Skew-Symmetric Matrix
5. Hermitian Matrix
6. 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.

1. Quadratic Equation
2. Exponential Equation
3. Reciprocal Equation
4. Radical Equation

Important Examples
Example # 3 (Pg#144)
Example # 3 (Pg#158)

Exercise 4.1

1. QUESTION # 5
2. QUESTION # 7
3. QUESTION # 11
4. QUESTION # 17
5. QUESTION # 20

Exercise 4.2

1. QUESTION # 5
2. QUESTION # 11
3. QUESTION # 14
4. QUESTION # 16
5. QUESTION # 17
6. QUESTION # 21

Exercise 4.4

1. QUESTION # 1 Part (iv)
2. QUESTION # 2 Part (ii, v)
3. QUESTION # 3 Part (i)
4. QUESTION # 6
5. QUESTION # 8 Part (i, iii)

Exercise 4.5

1. QUESTION # 2
2. QUESTION # 5
3. QUESTION # 10

Exercise 4.6

1. QUESTION # 1 Part (iv, vi)
2. QUESTION # 2
3. QUESTION # 4
4. QUESTION # 7 Part (iv, vii)

Exercise 4.7

1. QUESTION # 1 Part (iii)
2. QUESTION # 2 Part (i)
3. QUESTION # 3 Part (i, ii)

Exercise 4.8.

1. QUESTION # 2

Chapter No : 5

Important Definitions

1. Rational Fraction
2. Proper and Improper Rational Fraction

Important Examples : Example # 1 (Pg#184)

Exercise 5.1

1. QUESTION # 1
2. QUESTION # 2
3. QUESTION # 3
4. QUESTION # 6

Exercise 5.2

1. QUESTION # 1
2. QUESTION # 3

Exercise 5.3

1. QUESTION # 2

Chapter#6

Important Examples: Example # 2 (Pg#193)

Exercise 6.1

1. QUESTION #1 Part (vii)
2. QUESTION #3 Part (iii)

Exercise 6.2

1. QUESTION #2
2. QUESTION #4
3. QUESTION #6
4. QUESTION #9
5. QUESTION #13
6. QUESTION #14

Exercise 6.3

1. QUESTION #1 Part (iii)
2. QUESTION #2
3. QUESTION #6

Exercise 6.4

1. QUESTION #3 Part (i)
2. QUESTION #6
3. QUESTION #7
4. QUESTION #14
5. QUESTION #17
6. QUESTION #18

Exercise 6.6

1. QUESTION #3
2. QUESTION #9
3. QUESTION #10
4. QUESTION #11,

Exercise 6.7

1. QUESTION #1 Part (ii)
2. QUESTION #2 Part (i)
3. QUESTION #7
4. QUESTION #8

Exercise 6.8

1. QUESTION #2 Part (i)
2. QUESTION #4
3. QUESTION #9
4. QUESTION #14

Exercise 6.10

1. QUESTION #1 Part (i)
2. QUESTION #4 Part (iii)
3. QUESTION #7
4. QUESTION #11
5. QUESTION #13 Part (iii)
6. QUESTION #16

Exercise 6.11

1. QUESTION #4
2. QUESTION #12
3. QUESTION #16 Part (ii)

Chapter No : 07

Important Definitions

1. Permutation
2. Circular Permutation
3. Probability

Important Examples

1. Example # 1 and 2 (Pg#234)
2. Example # 1 (Pg#237)
3. Example # 3 (Pg#238)
4. Example # 2 (Pg#250)

Exercise 7.1

1. QUESTION #1 Part (x)
2. QUESTION #2 Part (v, viii, ix)

Exercise 7.2

1. QUESTION #2 Part (ii, iii*)
2. QUESTION #3 Part (i)
3. QUESTION #4
4. QUESTION #6 Part (i)
5. QUESTION #14

Exercise 7.3

1. QUESTION #1 Part (i, ii, iv)
2. QUESTION #4
3. QUESTION #11
4. QUESTION #12

Exercise 7.4

1. QUESTION #2 Part (iii)
2. QUESTION #4 (For a : i, ii) (For b : i*, iii*)
3. QUESTION #5
4. QUESTION #8

Exercise 7.5

1. QUESTION #2
2. QUESTION #5 Part (i)

Exercise 7.7

1. QUESTION #1
2. QUESTION #4
3. QUESTION #5*

Exercise 7.8

1. QUESTION #9
2. Prove that : nPn = n!

Chapter No : 8

Important Examples

1. Example # 3 Part (ii) (Pg#269)

Exercise 8.2

1. QUESTION #1 Part (iv)
2. QUESTION #2 Part (i, ii)
3. QUESTION #6 Part (i)
4. QUESTION #10 Part (i)

Exercise 8.3

1. QUESTION #1 Part (i, ii, v)
2. QUESTION #2 Part (i, v)
3. QUESTION #4 Part (i)
4. QUESTION #6

Write down expression of binomial theorem

Chapter No : 9

Important Definitions.

1. Radian
2. Quadrantel Angle

Exercise 9.1

1. QUESTION #1 Part (x, xiii)
2. QUESTION #3
3. QUESTION #5 Part (ii)
4. QUESTION #6 Part (i)
5. QUESTION #9

Exercise 9.2

1. QUESTION #5
2. QUESTION #6

Exercise 9.3

1. QUESTION #1 Part (ii, iii)
2. QUESTION #2 Part (ii)
3. QUESTION #3 (a : iii) (b : ii)

Exercise 9.4

1. QUESTION #5
2. QUESTION #9
3. QUESTION #12
4. QUESTION #14
5. QUESTION #20

Chapter No : 10

Important Examples

1. Example # 2 Part (ii) (Pg#320)
2. Example # 3 (Pg#323)
3. Example # 3 (Pg#335)

Exercise 10.1

1. QUESTION #2 Part (ii)
2. QUESTION #3 Part (i)
3. QUESTION #5 Part (ii, iv)

Exercise 10.2

1. QUESTION #1 Part (v, vii)
2. QUESTION #2 Part (iii)
3. QUESTION #4 Part (ii, v)
4. QUESTION #5

Exercise 10.3

1. QUESTION #1 Part (i)
2. QUESTION #3
3. QUESTION #4
4. QUESTION #10

Exercise 10.4

1. QUESTION #1 Part (v, vii)
2. QUESTION #2 Part (ii, iv, vi)
3. QUESTION #3 Part (i)

Chapter No : 11

Important Definitions.

1. Period

Exercise 11.1

1. QUESTION #3
2. QUESTION #4
3. QUESTION #8
4. QUESTION #11
5. QUESTION #13
6. QUESTION #15

Find Domain and Range Of :

1. y=sec x
2. y=tan x
3. y=cos x
4. y=cosec x

Chapter No : 12

Important Definitions.

1. Angle of Elevation
2. Angle of Depression
3. Oblique Triangle

Important Examples

1. Example # 1 (Pg#375)
2. Example # 1 Part (i) (Pg#381)

Exercise 12.2

1. QUESTION #7Exercise 12.3 : QUESTION #3*, QUESTION #6

Exercise 12.4

1. QUESTION #4

Exercise 12.5

1. QUESTION #11*

Exercise 12.6

1. QUESTION #7
2. QUESTION #8

Exercise 12.7

1. QUESTION #3 Part (i)
2. QUESTION #4

Exercise 12.8

1. QUESTION #5 Part (ii)
2. QUESTION #12 Part (i)

Chapter#13

Important Examples

1. Example # 1 Part (ii) (Pg#388)
2. Example # 4 (Pg#396)
3. Ex#2(i, ii) (Pg#390)

Exercise 13.1

1. QUESTION #1 Part (iv)
2. QUESTION #2 Part (i, iii)
3. QUESTION #3 Part (vii)

Exercise 13.2

1. QUESTION #2
2. QUESTION #20

Chapter No : 14

Important Definitions.

1. Trigonometric Equation

Important Examples

1. Example # 1 (Pg#401)
2. Example # 3 (Pg#402)
3. Example # 1 (Pg#403)
4. Example # 2 (Pg#403)
5. Example # 3 (Pg#404)

Exercise 14

1. QUESTION #1 Part (iii)
2. QUESTION #2 Part (iii)
3. 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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