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A linear equation of the form ax + by + c = 0 where a = 0, b 0 is called a linear equation in two variables. An equation is called a linear equation in one variable or an equation of degree one in one variable, if only a single variable with degree one occurs in the equation...

Linear Equations in One Variable - An equation is an equality connecting some unknowns. The unknowns are represented by "letters" and are called "the variables". If the equation has only one unknown, it is called "an equal in one variable". The word "Linear" means "of degree one". Hence if only a s..

Factorization - Writing a polynomial as the product of two or more polynomials is called factorisation. If A = B x C, B and C are called factors of A. Most of the polynomials can be factorised by grouping the terms suitably and taking out the common factors. Identities studied in the previous chapt..

Summary Linear Equations in One Variable - A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equati..

An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequ..

Linear Inequations - An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expression (or expr..

The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. We connect the plotted points with..

The product of 5 and -16 is -80. Since the third term is negative, the factors of 80 will have opposite signs, the bigger factor will have the same sign as the middle term and the smaller factor will have the opposite sign. The factors will differ by 2. 5x 2 - 2xy - 16y 2 [Find the factors of 80 ha..

Reasons: (i) (0, 5), (0, 1) pairs make it one - many, one - many is not a function. (ii) Pre-image 2 does not have an image in B. It becomes easy to discuss a function with the help of an arrow diagram. Given A = {-2, -1, 0, 1, 2} and B = {-3, -1, 1, 5}. list the elements of S = {(x, y): ..

Question: Solve the following equation: Answer: -58y-232 = -108y+18 -58y+108y = 18+232 50y=250 y=..