*Guess Paper Math 1st Year 100% Guarantee to Secure A+ Grade*
*SHORT-QUESTIONS*
*نوٹ:جن سوالوں پر * بنا ہوا ہے وہ V.V.Important ہیں ان کو اچھی طرح کرنا ہے* *Chapter#1*
Important Definitions : (1)*Complex Number (2)Rational Number (3)Irrational NumberImportant 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)
*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 MonoidImportant Examples : Ex#4 (Pg#53)Exercise 2.1 : Q#6, Q#9(ii)*Exercise 2.2 :Q#4 (iv, v)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 MatrixExercise 3.1 : Q#2, Q#3(i)*, Q#8*, Q#10Exercise 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 EquationImportant Examples : Ex#3* (Pg#144), Ex#3 (Pg#158)Exercise 4.1 : Q#5*, Q#7, Q#11*, Q#17*, Q#20Exercise 4.2 : Q#5*, Q#11, Q#14*, Q#16, Q#17*, Q#21Exercise 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*)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 FractionImportant Examples : Ex#1* (Pg#184)Exercise 5.1 : Q#1*, Q#2, Q#3*, Q#6Exercise 5.2 : Q#1*, Q#3Exercise 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#14Exercise 6.3 : Q#1(iii)*, Q#2*, Q#6Exercise 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#8Exercise 6.8 : Q#2(i)*, Q#4*, Q#9, Q#14Exercise 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)ProbabilityImportant 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#14Exercise 7.3 : Q#1(i, ii, iv*), Q#4*, Q#11*, Q#12Exercise 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! Baba G *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 theoremBaba G *Chapter#9* Important Definitions : (1)*Radian (2)*Quadrantel AngleExercise 9.1 : Q#1(x, xiii), Q#3, Q#5(ii), Q#6(i)*, Q#9*Exercise 9.2 : Q#5*, Q#6Exercise 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)Baba G *Chapter#11* Important Definitions : (1)* PeriodExercise 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
*Chapter#12* Important Definitions : (1)*Angle of Elevation (2)*Angle of Depression (3)Oblique TriangleImportant Examples : Ex#1 (Pg#375)*, Ex#1(i) (Pg#381) Exercise 12.2 : Q#7Exercise 12.3 : Q#3*, Q#6Exercise 12.4 : Q#4Exercise 12.5 : Q#11*Exercise 12.6 : Q#7, Q#8*Exercise 12.7 : Q#3(i)*, Q#4Exercise 12.8 : Q#5(ii), Q#12(i)Baba G *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#20Baba G *Chapter#14* Important Definitions : (1)*Trigonometric EquationImportant 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* *نوٹ:جن سوالوں پر * بنا ہوا ہے وہ V.V.Important ہیں ان کو اچھی طرح کرنا ہے*Examples : Ex#15* (Pg#75)Exercise 2.3 : Q#3Exercise 2.4 : Q#5Exercise 2.5 : Q#1, Q#4*Exercise 2.8 : Q#5*, Q#6Exercise 3.2 : Q#9(i)Exercise 3.3 : Q#3(iii*,xi), Q#4(i)*, Q#8*, Q#15Exercise 3.4 : Q#8Exercise 3.5 : Q#2(i)*Examples : Ex#5* (Pg#146)Exercise 4.2 : Q#15, Q#20*, Q#24Exercise 4.3 : Q#6, Q#9Exercise 4.4 : Q#3(iii)*Exercise 4.5 : Q#14Exercise 4.6 : Q#3(ii)*, Q#6, Q#8*Exercise 4.7 : Q#4(ii), Q#6*, Q#7Exercise 4.8 : Q#5*Exercise 4.9 : Q#8, Q#9Examples : Ex#1 (Pg#188)Exercise 5.1 : Q#5Exercise 5.2 : Q#2*, Q#4*, Q#5Exercise 5.3 : Q#3*, Q#9Exercise 6.3 : Q#7, Q#8*Exercise 6.4 : Q#4(i)*, Q#15Exercise 6.6 : Q#12*Exercise 6.7 : Q#4, Q#6*Exercise 6.8 : Q#14Exercise 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#10Exercise 8.1 : Q#12Exercise 8.2 : Q#6(ii)*Exercise 8.3 : Q#4(v)*, Q#7, Q#9(iii)*, Q#10*, Q#11Exercise 9.2 : Q#8*Exercise 9.3 : Q#5(iii), Q#6(viii)*Exercise 9.4 : Q#24Examples : 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#11Exercise 13.2 : Q#1*, Q#9, Q#11, Q#12Prove : 1* (Pg#398)
