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 and of first order (i.e..
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 and of first order (i.e..1)
Consider the equation x = 0, x = 1, y = 0, y = -2. i) x = 0 represents y-axis. ii) x = 1 represents line parallel to y-axis. iii) y = 0 represents x-axis. iv) y = -2 represents line parallel to x-axis...
Consider the equation x = 0, x = 1, y = 0, y = -2. i) x = 0 represents y-axis. ii) x = 1 represents line parallel to y-axis. iii) y = 0 represents x-axis. iv) y = -2 represents line parallel to x-axis...Graphs of linear inequations Consider the equation x = 0, x = 1, y = 0, y = -2. i) x = 0 represents y-axis. ii) x = 1 represents line parallel to y-axis. iii) y = 0 represents x-axis. iv) y = -2 represents line parallel to x-axis...
Consider the equation x = 0, x = 1, y = 0, y = -2. i) x = 0 represents y-axis. ii) x = 1 represents line parallel to y-axis. iii) y = 0 represents x-axis. iv) y = -2 represents line parallel to x-axis...Worked Examples on Simultaneous Equations
Problems on Simultaneous Equations - If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y..
Problems on Simultaneous Equations - If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y..Relation between the roots of a quadratic equation
Relation between the roots of a quadratic equation - Let a and b be the roots of the equation (i), Then x = a and x = b Since a and b are the roots of the equations (i) and (ii), both the equations are identical. Dividing equation (i) by 'a', we g..
Relation between the roots of a quadratic equation - Let a and b be the roots of the equation (i), Then x = a and x = b Since a and b are the roots of the equations (i) and (ii), both the equations are identical. Dividing equation (i) by 'a', we g..Change of subject of formula
Change of subject of formula - In the formula I is called the subject of the formula.In the formula I is called the subject of the formula. To make 'P' the subject of the formula: P x T x R = 100 x I If make 'a' the subject of the formula. m(a + b) = a Cross multiplying. am + bm = a am -a = - bm Ta..
Change of subject of formula - In the formula I is called the subject of the formula.In the formula I is called the subject of the formula. To make 'P' the subject of the formula: P x T x R = 100 x I If make 'a' the subject of the formula. m(a + b) = a Cross multiplying. am + bm = a am -a = - bm Ta..Surd
is NOT a surd because and 3 is NOT an irrational number. Without using tables, simplify: (i) 36 - 1 / 2 (ii) (i) 36 - 1 / 2 = (6 2 ) - 1 / 2 = 6 - 1 (i..
is NOT a surd because and 3 is NOT an irrational number. Without using tables, simplify: (i) 36 - 1 / 2 (ii) (i) 36 - 1 / 2 = (6 2 ) - 1 / 2 = 6 - 1 (i..One-one function
Every one element of A corresponds to one element of B. Every first element has a corresponding second element. One-one relations in examples 1 and 2 are called one-one functions. Every element of set A has one image in set B. {(1h..
Every one element of A corresponds to one element of B. Every first element has a corresponding second element. One-one relations in examples 1 and 2 are called one-one functions. Every element of set A has one image in set B. {(1h..(iii) one - many
For one element of A there is more than one corresponding element of B..
For one element of A there is more than one corresponding element of B..One-one function (or an injective map)
A function f : A g B is called a 1-1 mapping, if every element of f(A) does not have more than one pre-image. ..
A function f : A g B is called a 1-1 mapping, if every element of f(A) does not have more than one pre-image. ..See what our Users say :
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