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Class-10 : Maths - Chapter : 3 Pair Of Linear Equations In Two Variables (Ex-3.1Ex-3.2 Ex-3.3 Ex-3.4 Ex-3.5 Ex-3.6 Ex-3.7)

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Pair of Linear Equations in Two Variables In this chapter students will get to know the concept of Pair of Linear Equations in Two Variables. It explains how to represent a situation algebraically and graphically. Students will explore the methods of solving the pair of the linear equation through Graphical Method. This chapter describes the Algebraic Method, Elimination Method, Cross-Multiplication Method, Substitution Method respectively. Students must practice this chapter to master the method of solving the linear equations. The exercises present in the chapter should be dealt with utmost sincerity if one wants to score well in the examinations. To download Ch-3 (Pair Of Linear Equations In Two Variables) solutions in PDF please click on the link below : Ex - 3.1 :  Download PDF Ex - 3.2 :  Download PDF Ex - 3.3 :  Download PDF Ex - 3.4 :  Download PDF Ex - 3.5 :  Download PDF Ex - 3.6 :  Download PDF Ex - 3.7 (Optional) :  Download PDF Note : All the copyright of this PDF
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Class-9 : Maths - Chapter : 2. Polynomials. (Ex-2.1, Ex-2.3, Ex-2.3, Ex-2.4, Ex-2.5)

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Points to Remember  Constants : A symbol having a fixed numerical value is called a constant. E.g : 9, -6, 4/7, √3, π Variables : A symbol which may be assigned different numerical values is known as a Variable. E.g : P = 4x , Here P & x are Variables & 4 is constant. Algebraic expressions : A combination of constants and variables connected by some or all of the operations +, -, ×, ÷ is known as algebraic expression. Terms : The several parts of an algebraic expression separated by '+' or '-' operations are called the terms of the expression. E.g : 5x² - 9x + 4 is an algebraic expression containing three algebraic terms, namely 5x², -9x & 4 Polynomials : An algebraic expression in which the variables involved have only non-negative integral powers is called a polynomial. Classification of polynomials on the basis of degree  :        Degree             Polynomial             Example        a). 1  Linear (x+1) , (2x+3) etc.   b). 2  Quadratic  (ax² + bx +
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Class-10 : Maths - Chapter : 2 Polynomials (Ex-2.1 Ex-2.2 Ex-2.3 Ex-2.4)

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The chapter Polynomials starts with the definition of degree of the polynomial, linear polynomial, quadratic polynomial and cubic polynomial. This chapter includes the questions on finding the number of zeroes through a graph which requires the understanding of Geometrical Meaning of the Zeroes of a Polynomial. Then students will learn regarding the Relationship between Zeroes and Coefficients of a Polynomial where they will have to find the zeros of a quadratic polynomial and in some of the questions they have to find the quadratic polynomial. Lastly, the concept of division algorithm is defined and students will find the questions related to it.   To download Ch-2(Polynomials) solutions in PDF please click on the link below : Ex - 2.1 : Download PDF Ex - 2.2 : Download PDF Ex - 2.3 : Download PDF Ex - 2.4 : Download PDF Note : All the copyright of this PDF content belongs to NBSEguideonline. It is available to all NBSEguideonline users without any subscription.   Points to Remember •
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Class-10 : Book Keeping & Accountancy - Unit-I : Final Accounts (without adjustments)

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Unit I Final Accounts (without adjustments) To download Unit I (Final Accounts - without adjustments) notes in PDF for future use please click on the link below. Theory - CLICK HERE Practical - CLICK HERE Note : All the copyright of this PDF content belongs to NBSEguideonline. It is available to all NBSEguideonline users without any subscription. ★★★★★ VERY SHORT ANSWER TYPE QUESTIONS 1. What are the stages of a Final Account ? Ans : Following are the stages of preparing final accounts - I. Trading Account. II. Profit & Loss Account. III. Balance Sheet. 2. Name three items that should come on the credit side of a Debtor's account. Ans : Discount Allowed A/c , Sales Return A/c , Cash A/c 3. How are expenses on acquiring goods treated ? Ans : It is treated as direct expenses and shown on the debit side of the Trading Account. 4. Give three points of difference between Bookkeeping and Accountancy. Ans : Following are the points of difference between Bookkeeping and Accountanc
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Class-10 : Maths - Chapter : 4 Quadratic Equations (Ex-4.1 Ex-4.2 Ex-4.3 Ex-4.4)

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QUADRATIC EQUATIONS  In this chapter, students will get to know the standard form of writing a quadratic equation. The chapter goes on to explain the method of solving the quadratic equation through the factorization method and completing the square method. The chapter ends with the topic on finding the nature of roots. To download Ch-4 (Quadratic Equations) solutions in PDF please click on the link below : Ex - 4.1 : Download PDF   Ex - 4.2 : Download PDF   Ex - 4.3 : Download PDF Ex - 4.4 : Download PDF   Note : All the copyright of this PDF content belongs to NBSEguideonline. It is available to all NBSEguideonline users without any subscription.  Points To Remember   QUADRATIC EQUATIONS   The polynomial of degree two is called quadratic polynomial and equation corresponding to a  quadratic polynomial P(x) is called a quadratic equation in variable x. Thus, P(x) = ax² + bx + c = 0, a ≠ 0, a, b, c ∈ R is known as the standard form of quadratic  equation. There are tw
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Class-10 : Maths - Chapter : 1. Real Numbers (Ex-1.1 Ex-1.2 Ex-1.3 Ex-1.4)

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Real Numbers In this Chapter, students will get to know about real numbers and irrational numbers. The chapter starts with the Euclid’s Division Lemma which states that “Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0≤r<b”. The Euclid’s Division algorithm is based on this lemma and is used to calculate the HCF of two positive integers. Then, the Fundamental Theorem of Arithmetic is defined which is used to find the LCM and HCF of two positive integers. Lastly, the concept of an irrational number, rational number and decimal expansion of rational numbers are explained with the help of theorem. To download Ch-1(Real Numbers) solutions in PDF please click on the link below : Ex-1.1 :  Download PDF Ex-1.2 :  Download PDF Ex-1.3 :  Download PDF Ex-1.4 : Download PDF Note : All the copyright of this PDF content belongs to NBSEguideonline. It is available to all NBSEguideonline users without any subscription.  Points To Remember   Natural num
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Class-10 : Maths - Chapter : 5 Arithmetic Progression (Ex-5.1 Ex-5.2 Ex-5.3 Ex-5.4 optional)

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ARITHMETIC PROGRESSION  This chapter introduces students to a new topic that is  Arithmetic Progression i.e A.P. Here, students will learn to represent a situation or problems in the form of A.P, finding the first term and difference of an A.P, finding out whether a series is A.P or not. The chapter goes on to explain how to find out the nth term of an AP by using the following formula; a n  = a + (n-1) d and also how to find sum of first n terms of an A.P using the two different formula : Sn= n/2{ 2a + (n — 1)d} Sn = n/2 { a + l} The chapter ends with higher-level questions based on AP to enhance students analytical and power solving skills. To download Chapter 5 (Arithmetic Progression) solutions in PDF for future use please click on the link below : Ex - 5.1 Download PDF Ex -  5.2 Download PDF Ex -  5.3 Download PDF Ex -   5.4 (optional) Download PDF Note : All the copyright of this PDF content belongs to NBSEguideonline. It is available to all N
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Class-9 : Book Keeping & Accountancy - Unit-I : Introduction To Book-keeping & Accountancy

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Unit I Introduction to Book-keeping and Accountancy     To download Unit I (Introduction to Book-keeping and Accountancy) notes in PDF for future use please click on the link below. Theory - CLICK HERE Note : All the copyright of this PDF content belongs to NBSEguideonline. It is available to all NBSEguideonline users without any subscription. ***** VERY SHORT ANSWER TYPE QUESTIONS 1. What do you mean by Book Keeping ?  Ans : Book keeping is a combination of two words i.e, 'BOOK' & 'Keeping' where 'Book' means maintenance of business & 'Keeping' means to keep the book in a systematic manner and updated with the complete records of all the transactions. 2. Define Book Keeping. Ans : According to Nortch Cott - “Book-keeping is an art of recording in the books of accounts the monetary aspects of commercial or financial transactions." 3. Draw the process of Book keeping. Ans : The process of Book keeping is draw below : 4. Mention the objective
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Class-9 : Maths - Chapter-1. Number Systems. ( Ex-1.1, Ex-1.2, Ex-1.3, Ex-1.4, Ex-1.5, Ex-1.6)

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Points to Remember  Natural numbers are : 1, 2, 3, …………….. denoted by N . W hole numbers are : 0, 1, 2, 3, ……………… denoted by W . Integers : ……. -3, -2, -1, 0, 1, 2, 3, ……………… denoted by Z . Rational numbers : The numbers which can be written in the form of p/q , where p and q are integers and q ≠0 . Every integer   p is also a rational number, can be written as p/1 . Irrational numbers - A number is called irrational, if it cannot be written in the form of p/q , where p and q are integers and  q ≠0 . Terminating decimals : The rational numbers with a finite decimal part or for which the long division terminates after a finite number of steps are known as finite or terminating decimals. Non-Terminating decimals : The rational numbers with an infinite decimal part or for which the long division does not terminate even after an infinite number of steps are known as infinite or non-terminating decimals. Real numbers : All the rational numbers and irrational numbers taken togethe
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