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Linear Equations in One Variable
Linear Equations in One Variable - An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of one variable..
Multiplicative identity of Complex numbers
Let Z = a + i b and Z' = x + iy, then ax - by = a ..... (i) and ay + bx = b ..... (ii) Solving (i) and (ii), we have x = 1, y =0 Multiplicative identity is 1 + ..
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 equation. To solve..
Which of the following statement(s) is/are true?I. The variable that c..
Which of the following statement(s) is/are true? I. The variable that cannot be controlled or manipulated is dependent variable. II. Independent variable is plotted on the y-axis. III. A relationship between four variables only is called multiple re..
More Solved Examples
The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its "input") and the other as secondary (the value of the function, or "o..
Solve for the variable in the equation. 2a = - 6
Solve for the variable in the equation. 2 a = - 6 => - 8 or - 4 or - 3 or 3..
Solve for the variable in the equation.14 = - 33 + t
Solve for the variable in the equation. 14 = - 33 + t => -47 or -43 or -51 or 47..
Solving LPP Graphical Method
Graphical Method of Solution of a Linear Programming Problem - So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize) the obje..
Which of the following statement(s) is/are true?I. The multiple correl..
Which of the following statement(s) is/are true? I. The multiple correlation coefficient denoted by R takes into account all the independent variables and can be computed by using the values of the individual correlation coefficients. II. R can range from - 1 to + 1. III. R can ..
Solving First Order First Degree Differential Equation
Solving First Order First Degree Differential Equation - The different ways of solving differential equation are a follows:The different ways of solving differential equation are a follows: Method of separation of variables Homogeneous differential equations ..
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