## Class X Mathematics by NINGTHOUKHONGJAM MAHENDRAKUMAR MOIRANGCHA

This mathematics course curriculum for 10th standard is set after detailed examination over the need of the students, so as to ensure that nothing in the syllabus of BoSEM and CBSE is left out.

– The layout of the chapters and the exercises solved are based on BoSEM Mathematics textbook (2nd Edition Reprint, 2009)

– Slight deviation in explanations are made in certain topics to provide extra information to the students.

– Regular updation will be done to meet the changing requirements.

* We are always happy to improve ourselves with your kind suggestions.

### Course Curriculum

 Chapter 1 - NUMBER SYSTEM Number System – An Introduction FREE 00:05:00 Euclid’s Division Lemma FREE 00:07:00 Euclid’s Algorithm for finding HCF of two Positive Integers FREE 00:17:00 EXERCISE 1.1, Q1(IV) FREE 00:06:00 Every Integer is of the form 2q or 2q+1 and 3q, 3q+1,3q-1-34 FREE 00:12:00 EXERCISE 1.1 Q2 FREE 00:09:00 EXERCISE 1.1 Q3 FREE 00:08:00 EXERCISE 1.1 Q5 FREE 00:10:00 EXERCISE 1.1 Q6 FREE 00:08:00 EXERCISE 1.1 Q7 FREE 00:15:00 EXERCISE 1.1 Q8 00:07:00 EXERCISE 1.1 Q9 00:08:00 EXERCISE 1.1 Q10 00:11:00 EXERCISE 1.1 Q11 00:11:00 Fundamental Theorem of Arithmetic or Unique Factorisation Theorem 00:10:00 Exercise 1.2 Q1 (iv) 00:09:00 Exercise 1.2 Q2 (iv) 00:10:00 Exercise 1.2 Q3 (ii) 00:09:00 Exercise 1.2 Q4 00:08:00 Exercise 1.2 Q5 00:00:00 Exercise 1.2 Q6 00:09:00 Exercise 1.2 Q8 00:08:00 Exercise 1.2 Q10 00:14:00 Exercise 1.2 Q11 00:06:00 Exercise 1.2 Q12 00:06:00 Field Properties Of Real Numbers 00:17:00 Cancellation Law For Addition { Corollary 1} 00:09:00 Cancellation Law For Multiplication {corollary 2} 00:06:00 For any X belongs to R, X.0=0 {corollary 3} 00:05:00 For Any X,y belongs to R, X (-y)= -xy{corollary 4} 00:05:00 For any X, Y Belongs to R, (-x)(-y)=xy{corollary 5} 00:06:00 For any X,y Belongs to R and X.y = 0, then X=0 or Y=0{corollary 6} 00:07:00 Absolute Value or Modulus of a Real Number 00:09:00 Some Fundamental Properties of Absolute Value of a Real Number 1 00:10:00 Some Fundamental Properties of Absolute Value of A Real Number 2 00:04:00 Some Fundamental Properties of Absolute Value of A Real Number 3. 00:16:00 Some Fundamental Properties of Absolute Value of a Real Number 4 00:13:00 Some Fundamental Properties of Absolute Value of a Real Number 5 00:07:00 Some Fundamental Properties of Absolute Value of a Real Number 6 00:14:00 Exercise 1.3 Q1 00:11:00 Exercise 1.3 Q2 00:09:00 Exercise 1.3 Q3 00:04:00 Exercise 1.3 Q4 00:04:00 Exercise 1.3 Q5 00:03:00 Exercise 1.3 Q6 00:04:00 Exercise 1.3 Q7 00:14:00 Chapter 2 - POLYNOMIALS Polynomials – An Introduction 00:09:00 Ex 2.1 Q1(i) 00:18:00 Ex 2.1 Q1(v) 00:09:00 Ex 2.1 Q1 (ix) 00:17:00 Ex 2.1 Q2 (iii) 00:09:00 Ex 2.1 Q2 (iv) 00:08:00 Ex 21 Q3 00:09:00 Ex 2.1 Q4 00:04:00 Remainder Theorem 00:11:00 Factor Theorem 00:14:00 Exercise 2.2 Q1 (ii,iv) 00:11:00 Exercise 2.2 (ii,iv) 00:08:00 Exercise 2.2 Q3(i,iii) 00:04:00 Exercise 2.2 Q4 (ii) 00:04:00 Exercise 2.2 Q4 (iv) 00:09:00 Exercise 2.2 Q5 (i,iii) 00:04:00 Exercise 2.2 Q6 00:08:00 Exercise 2.3 Q1 (i) 00:12:00 Exercise 2.3 Q1 (v) 00:08:00 Exercise 2.3 Q1 (vi) 00:17:00 Exercise 2.3 Q1 (xi) 00:20:00 Exercise 2.3 Q2 00:14:00 Exercise 2.3 Q3 00:07:00 Chapter 3 - FACTORISATION Factorisation – An Introduction 00:10:00 Factorisation of Cyclic Expression (part-1) 00:14:00 Factorisation of Cyclic Expression (part-2) 00:10:00 Factorisation of Cyclic Expression (part-3) 00:18:00 Factorisation of Cyclic Expression (part 4) 00:09:00 Factorisation of Cyclic Expression (part 5) 00:09:00 Factorisation of Cyclic Expression (part 6) 00:16:00 Factorisation of Cyclic Expression (part 7) 00:20:00 Exercise 3.1 Q1(i,ii) 00:12:00 Exercise 3.1 Q1 (v,vi) 00:12:00 Exercise 3.1 Q2(i) 00:14:00 Exercise 3.1 Q2(viii) 00:13:00 Exercise 3.1 Q2 (xiii) 00:06:00 Exercise 3.1 Q2 (xi) 00:06:00 Exercise 3.1 Q2 (x,xiv) 00:08:00 Exercise 3.1 Q3 00:05:00 Exercise 3.1 Q4 00:08:00 Exercise 3.1 Q5 00:05:00 Exercise 3.1 Q6 00:06:00 Exercise 3.1 Q7 00:09:00 Exercise 3.1 Q8 00:06:00 Chapter 4 - PAIR OF LINEAR EQUATIONS IN TWO VARIABLES Pair Of Linear Equations in Two Variables – A Brief Introduction 00:13:00 Solution of A Pair of Linear Equations in two Variables 00:11:00 Exercise 4.1 Q1(i,ii,iv) 00:12:00 Exercise 4.1 Q2 (ii,v) 00:08:00 Exercise 4.1 Q4(i) 00:06:00 Exercise 4.1 Q3 (v) 00:14:00 Exercise 4.1 Q3 (iv) 00:18:00 Exercise 4.1 Q5 00:05:00 Exercise 4.1 Q6 00:07:00 Exercise 4.2 Q1 (iii) 00:12:00 Exercise 4.2 Q1 (viii) 00:06:00 Exercise 4.2 Q1 (ix) 00:03:00 Exercise 4.2 Q2 (v) 00:14:00 Exercise 42 Q2 (ix) 00:05:00 Exercise 4.2 Q2 (xi) 00:09:00 Cross Multiplication Method 00:35:00 Exercise 4.2 Q3 (ii) 00:13:00 Exercise 4.2 Q3 (xi) 00:21:00 Exercise 4.2 Q3 (xii) 00:11:00 Exercise 4.2 Q4 (iii) 00:12:00 Exercise 4.2 Q4 (v) 00:08:00 Exercise 4.2 Q4 (vi) 00:11:00 Exercise 4.2 Q4 (ix) 00:11:00 Ex.4.3 Q3 00:20:00 Ex.4.3 Q5 00:11:00 Ex.4.3 Q6 00:18:00 Ex.4.3 Q8 00:22:00 Ex.4.3 Q11 00:15:00 Ex.4.3 Q12 00:26:00 Ex.4.3 Q13 00:15:00 Exercise 4.3 Q14 00:37:00 Exercise 4.3 Q19 00:16:00 Exercise 4.3 Q20 00:19:00 Exercise 4.3 Q21 00:22:00 Exercise 4.3 Q22 00:18:00 Chapter 5 - QUADRATIC EQUATIONS Quadratic Equations – An Introduction 00:24:00 Methods of Solving Quadratic Equation { Exercise 5.1 , Q1-i,ii,v} 00:30:00 Methods Of Completing The Perfect Square 00:26:00 Ex.5.1 Q2- ii And iv 00:15:00 Concept of Nature of Roots and its Related Examples (1) 00:23:00 Concept of Nature of Roots and its Related Examples (2) 00:27:00 Concept of Relation between Roots and Coefficients 00:29:00 Ex.5.1 Q5(i,iv) and Q6(i,v) 00:19:00 Ex.5.1 Q7(i,iii,v) 00:15:00 Ex.5.1 Q8( I, V) 00:11:00 Ex.5.1 Q9&10 00:11:00 Ex.5.1 Q12 And Q13 00:16:00 Ex.5.1 Q15 00:09:00 Ex.5.1 Q16 00:12:00 5.2 Q1 FREE 00:12:00 EXERCISE 5.2 Q3 00:15:00 EXERCISE 5.2 Q4 00:08:00 EXERCISE 5.2 Q6 & Q7 00:19:00 Exercise 5.2 Q9 00:12:00 Ex.5.2 Q11 00:14:00 Ex.5.2 Q12 00:09:00 Ex.5.2 Q13 00:19:00 Ex-5.2 Q14 00:13:00 Ex5.2 Q15 00:18:00 Ex5.2 Q16 00:18:00 Chapter 6 - ARITHMETIC PROGRESSION Arithmetic Progression – An Introduction 00:21:00 General Term of an AP 00:11:00 EXERCISE 6.1 Q1 (i&iii) Q2 (iii) 00:17:00 Exercise 6.1 Q3(iv) 00:04:00 Exercise 6.1 Q4(ii), Q5(ii) 00:13:00 Exercise 6.1 Q6(i) Q7 00:10:00 Exercise 6.1 Q9 00:06:00 Exercise 6.1 Q10 And Q12 00:10:00 Exercise 6.1 Q13 And Q14 00:17:00 Exercise 6.1 Q15 00:14:00 Exercise 6.1 Q16 00:08:00 Sum of First N Terms of an A.P(sn) 00:11:00 Exercise 6.2 Q1(iii) And Q2 (ii) 00:12:00 Exercise 6.2 Q4 00:17:00 Exercise 6.2 Q5 (i And Iii) 00:07:00 Exercise 6.2 Q6 And Q8 00:16:00 Exercise 6.2 Q9 00:10:00 Exercise 6.2 Q11 And Q12 00:15:00 Exercise 6.2 Q13 00:09:00 Exercise 6.2 Q14 00:16:00 Exercise 6.2 Q15 00:07:00 Exercise 6.2 Q16 00:15:00 Chapter 10 - Trigonometry Trigonometry – An Introduction FREE 00:15:00 Trigonometric Ratios (part-1) 00:16:00 Trigonometric Ratios (part-2) 00:14:00 Trigonometric Ratio Of 45 Degree 00:15:00 Trigonometric Ratios Of 30 And 60 Degrees 00:30:00 Trigonometric Ratios Of 0 And 90 Degrees 00:16:00 Trigonometric Ratio Table For Standard Angles 00:18:00 Exercise 10.1 Q1(iii & Iv) 00:10:00 Exercise 10.1 Q2 00:06:00 Exercise 10.1 Q3 00:06:00 Relationship Between Trigonometric Ratios (reciprocal Relation) 00:07:00 Relationship Between Trigonometric Ratios (quotient Relation) 00:06:00 Relationship Between Trigonometric Ratios( Pythagorean Relation) 00:19:00 Exercise 10.2 Q1 00:07:00 Exercise 10.2 Q2 00:06:00 Exercise 10.2 Q3 00:17:00 Exercise 10.2 Q7 00:13:00 Exercise 10.2 Q8 00:08:00 Exercise 10.2 Q9 00:06:00 Exercise 10.2 Q10 (i,ii) 00:06:00 Exercise 10.2 Q10(iii,iv) 00:06:00 Exercise 10.2 Q11 (i) 00:06:00 Exercise 10.2 Q11 (ii) 00:03:00 Exercise 10.2 Q11 (iii) 00:07:00 Exercise 10.2 Q11 (iv) 00:03:00 Exercise 10.2 Q11 (v) 00:04:00 Exercise 10.2 Q11 (vi) 00:04:00 Exercise 10.2 Q11 (viii) 00:03:00 Exercisee 10.2 Q11 (ix) 00:03:00 Exercise 10.2 Q11 (x) 00:05:00 Exercise 10.2 Q11 (xi) 00:04:00 Exercise 10.2 Q11 (xii) 00:04:00 Exercise10.2 Q11 (xiii) 00:11:00 Exercise 10.2 Q11 (xiv) 00:06:00 Exercise 10.2 Q11 (xv) 00:07:00 Exercise 10.2 Q11 (xvi) 00:05:00
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