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If a system of linear equations has at least one solution, then the system is called consistent, otherwise it is called inconsistent. Solve the system of linear equations (1) by using method of elimination as studied earlier Multiplying the first equation by a 2 and the second equation ..

In Mathematics, a well-defined collection of definite objects is called a set. George Cantor is regarded as the "Father of Set theory". The concept of "Sets" is basic in all branches of mathematics. It has proved to be of particular importance in the foundations of rel..

After the elementary study in probability, let us see how we can utilise this basic knowledge in solving problems of different are..

We have studied so far about equalities in a triangle. In an isosceles triangle two of the sides are equal. In an equilateral triangle all the sides are equal. But there exist several situations where we need to compare quantities which are not equal. This gives rise to the concept of ine..

Polynomials - An expression of the form in which a i are numbers belonging to some number system and 'n' is a non-negative integer, is called a polynomial. a i are called the coefficients of if a o 0, the polynomial is said to be of degree ..

Set: A well-defined collection of distinct objects is called a set. Notation of Sets: Capital letters are usually used to denote or represent a set. Representation of Sets: There are two methods of representing a set. (i) Roster Method (ii) Set builder form. Finite an..

1. The numbers 2, 3, 5 and 8. 2. The solutions of the equation x 2 - 2x - 15 = 0. 3. The letters of the word "Chase". 4. People living in our locality. 5. The students Mary, Hillary, Catherine. 6. The workers who are absent from the factory. 7. The capital cities of Asia. 8. The positive even int..

Basic Proportionality Theorem (B.P.T.) will be more useful in the topic 'SIMILARITY'. Division of a line segment into equal parts. Divide a line segment of length 8.4 cm into 5 equal parts. AB = 8.4 cm 1. Draw AB = 8.4 cm and through A draw another line AX at an acute angle to AB. 2. With..

Point : It is an exact location. It is a fine dot which has neither length nor breadth nor thickness but has position i.e., it has no magnitud..

Fundamental concepts of Geometr..