Math Guess Papers 2019-20

1st Year Guess Papers 2019, HOME, Math (1st year)

SHORT-QUESTIONS WITH [+] SYMBOL ARE VERY IMPORTANT

Chapter # 1 :-

Important Definitions


(1)+Complex Number (2)Rational Number (3)Irrational Number


Important Examples


Example#6(v)+ (Pg#10)
Exercise 1.1 :
Q#1(iii, iv), Q#4(i), Q#5, Q#6(i)
Exercise 1.2 :
Q#4(ii, iii), Q#5(iii), Q#11+, Q#14(iii), Q#15(ii), Q#16(i)
Exercise 1.3 :
Q#2(i, iv+), Q#3(iii), Q#4, Q#5(ii,iv), Q#6(i,ii)


Theorems

(iii+, iv) (Pg#21) Associative Law Of Addition and Multiplication (Pg#6,7) -_Commutative Law Of Addition and Multiplication (Pg#6,7)

Chapter # 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 : Q#6, Q#9(ii)+
Exercise 2.2 : Q#4 (iv, v, vi)
Exercise 2.3 : Q#7 (iii)+
Exercise 2.4 : Q#1(iii), Q#2(ii), Q#3(ii), Q#4(iii)
Exercise 2.6 : Q#1(ii, iv+), Q#4(ii+, iii)
-_Distributive Property Of Union over Intersection (Pg#42) Distributive Property Of Intersection over Union (Pg#42) -_De Morgan’s Law (Pg#42)

Chapter # 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 : Q#2, Q#3(i), Q#8, Q#10
Exercise 3.2 : Q#2(iii), Q#4(ii), Q#6(i, iii)
Exercise 3.3 : Q#1(ii), Q#2(ii), Q#3(ii, iv), Q#5(i+, ii), Q#6(iii)+
Exercise 3.4 :
Q#2(i+, ii), Q#4+, Q#6(i+, ii)

Chapter # 4 :-

Important Definitions

(1)+Quadratic Equation (2)Exponential Equation (3)Reciprocal Equation
(4)+Radical Equation


Important Examples

Examples#3+ (Pg#144), Ex#3 (Pg#158)
Exercise 4.1 : Q#5+, Q#7, Q#11+, Q#17+, Q#20
Exercise 4.2 : Q#5+, Q#11, Q#14+, Q#16, Q#17+, Q#21
Exercise 4.4 : Q#1(iv), Q#2(ii, v), Q#3(i), Q#6, Q#8(i, iii+)
Exercise 4.5 : Q#2, Q#5, Q#10
Exercise 4.6 : Q#1(iv, vi), Q#2, Q#4, Q#7(iv, vii)
Exercise 4.7 : Q#1(iii), Q#2(i), Q#3(i, ii)
Exercise 4.8 : Q#2

Chapter # 5 :-

Important Definitions

(1)Rational Fraction (2)Proper and Improper Rational Fraction


Important Examples : Ex#1 (Pg#184)
Exercise 5.1 : Q#1, Q#2, Q#3, Q#6
Exercise 5.2 : Q#1, Q#3
Exercise 5.3 : Q#2

Chapter # 6 :-

Important Examples : Ex#2 (Pg#193)


Exercise 6.1 : Q#1(vii), Q#3(iii)+
Exercise 6.2 : Q#2+, Q#4, Q#6+, Q#9+, Q#13+, Q#14
Exercise 6.3 : Q#1(iii), Q#2, Q#6
Exercise 6.4 : Q#3(i), Q#6, Q#7, Q#14, Q#17, Q#18*
Exercise 6.6 : Q#3, Q#9, Q#10*, Q#11,
Exercise 6.7 : Q#1(ii), Q#2(i), Q#7, Q#8
Exercise 6.8 : Q#2(i), Q#4, Q#9, Q#14
Exercise 6.10 : Q#1(i), Q#4(iii), Q#7, Q#11+, Q#13(iii), Q#16+
Exercise 6.11 : Q#4+, Q#12+, Q#16(ii)+

Chapter # 7 :-

Important Definitions :

(1)Permutation (2)+Circular Permutation (3)Probability
Important Examples : Examples#1,2+ (Pg#234), Ex#1 (Pg#237), Ex#3+ (Pg#238), Ex#2 (Pg#250)


Exercise 7.1 : Q#1(x), Q#2(v, viii, ix)
Exercise 7.2 : Q#2(ii, iii*), Q#3(i), Q#4, Q#6(i), Q#14
Exercise 7.3 : Q#1(i, ii, iv+), Q#4+, Q#11+, Q#12
Exercise 7.4 : Q#2(iii), Q#4[(For a : i, ii) (For b : i+, iii+)], Q#5, Q#8+
Exercise 7.5 : Q#2+, Q#5(i)
Exercise 7.7 : Q#1+, Q#4, Q#5+
Exercise 7.8 : Q#9+
_-_Prove that : nPn = n!

Chapter # 8 :-

Important Examples : Ex#3(ii)* (Pg#269)


Exercise 8.2 : Q#1(iv), Q#2(i, ii), Q#6(i) , Q#10(i)
Exercise 8.3 : Q#1(i, ii, v), Q#2(i, v), Q#4(i), Q#6
_-_Write down expression of binomial theorem

Chapter # 9 :-

Important Definitions :

(1)+Radian (2)+Quadrantel Angle


Exercise 9.1 : Q#1(x, xiii), Q#3, Q#5(ii), Q#6(i), Q#9
Exercise 9.2 : Q#5+, Q#6
Exercise 9.3 : Q#1(ii+, iii), Q#2(ii), Q#3[ (For a : iii) (For b : ii)]
Exercise 9.4 : Q#5+, Q#9+, Q#12, Q#14, Q#20+

Chapter # 10 :-

Important Examples

Ex#2(ii) (Pg#320), Ex#3+ (Pg#323), Ex#3 (Pg#335)
Exercise 10.1 : Q#2(ii), Q#3(i), Q#5(ii,iv)
Exercise 10.2 : Q#1(v+,vii), Q#2(iii), Q#4(ii, v), Q#5+
Exercise 10.3 : Q#1(i), Q#3+, Q#4, Q#10+
Exercise 10.4 : Q#1(v, vii+), Q#2(ii, iv+, vi), Q#3(i)

Chapter # 11 :-

Important Definitions :

(1)+ Period


Exercise 11.1 : Q#3, Q#4, Q#8+, Q#11+, Q#13, Q#15+
Find Domain and Range Of : (1)+y=sec x (2)+y=tan x (3)y=cos x (4)+y=cosec x

Chapter # 12 :-

Important Definitions :

(1)+Angle of Elevation (2)+Angle of Depression (3)Oblique Triangle


Important Examples : Ex#1 (Pg#375)+, Ex#1(i) (Pg#381)
Exercise 12.2 : Q#7
Exercise 12.3 : Q#3+, Q#6
Exercise 12.4 : Q#4
Exercise 12.5 : Q#11*
Exercise 12.6 : Q#7, Q#8*
Exercise 12.7 : Q#3(i)*, Q#4
Exercise 12.8 : Q#5(ii), Q#12(i)

Chapter # 13 :-

Important Examples : Ex#1(ii)+ (Pg#388), Ex#4 (Pg#396), Ex#2(i, ii) (Pg#390)


Exercise 13.1 : Q#1(iv), Q#2(i, iii), Q#3(vii)+
Exercise 13.2 : Q#2+, Q#20

Chapter#14 :-

Important Definitions :

(1)+Trigonometric Equation
Important Examples : Examples#1+ (Pg#401), Ex#3 (Pg#402), Ex#1 (Pg#403), Ex#2+ (Pg#403),
Ex#3+ (Pg#404)
Exercise 14 : Q#1(iii), Q#2(iii), Q#16

LONG-QUESTIONS QUESTION WITH [+] SYMBOL ARE VERY IMPORTANT

Examples : Ex#15+ (Pg#75) Exercise 2.3 : Q#3 Exercise 2.4 : Q#5 Exercise 2.5 : Q#1, Q#4+ Exercise 2.8 : Q#5+, Q#6 Exercise 3.2 : Q#9(i) Exercise 3.3 : Q#3(iii+,xi), Q#4(i), Q#8, Q#15 Exercise 3.4 : Q#8 Exercise 3.5 : Q#2(i)+ Examples : Ex#5+ (Pg#146) Exercise 4.2 : Q#15, Q#20+, Q#24 Exercise 4.3 : Q#6, Q#9 Exercise 4.4 : Q#3(iii)+ Exercise 4.5 : Q#14 Exercise 4.6 : Q#3(ii), Q#6, Q#8 Exercise 4.7 : Q#4(ii), Q#6+, Q#7 Exercise 4.8 : Q#5+ Exercise 4.9 : Q#8, Q#9 Examples : Ex#1 (Pg#188) Exercise 5.1 : Q#5 Exercise 5.2 : Q#2+, Q#4+, Q#5 Exercise 5.3 : Q#3+, Q#9

Exercise 6.3 : Q#7, Q#8+ Exercise 6.4 : Q#4(i)+, Q#15 Exercise 6.6 : Q#12+ Exercise 6.7 : Q#4, Q#6+ Exercise 6.8 : Q#14 Exercise 6.10 : Q#9+, Q#18+ Examples : Ex#3 (Pg#241) Exercise 7.2 : Q#3(ii) Exercise 7.3 : Q#5+ Exercise 7.4 : Q#3(ii)+, Q#10 Exercise 8.1 : Q#12 Exercise 8.2 : Q#6(ii)+ Exercise 8.3 : Q#4(v), Q#7, Q#9(iii), Q#10+, Q#11 Exercise 9.2 : Q#8+ Exercise 9.3 : Q#5(iii), Q#6(viii)+ Exercise 9.4 : Q#24 Examples : Ex#3+ (Pg#331), Ex#2 (Pg#322), Ex#4 (Pg#324) Exercise 10.2 : Q#9(iv,v), Q#11, Q#13, Q#14(ii), Exercise 10.3 : Q#14+ Exercise 12.8 : Q#3(i), Q#8(i), Q#9(i), Q#11 Exercise 13.2 : Q#1+, Q#9, Q#11, Q#12 Prove : 1+ (Pg#398)

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