Math guess 1st year

MATH GUESS PAPER  1st YEAR  2017
_____________SHORT-QUESTIONS_____________
(Note : Questions Marked With * Are V.V.Important )

Chapter#1 :-
Important Definitions : (1)*Complex Number (2)Rational Number (3)Irrational Number
Important Examples : Ex#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 : Ex#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 : Ex#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 : Ex#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 : Ex#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______________
(Note : Questions Marked With * Are V.V.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)