chapter 1 xi


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Tanya was reading a novel, which had 10 chapters. She spent 1 hour(s) ..
Tanya was reading a novel, which had 10 chapters. She spent 1 hour(s) reading the first chapter and took the same amount of time to read all the other chapters of the novel. She completed reading the novel in 19 hours. Solve the equation 1 + 9 h = 1..
(i) one - one
For each element of B there is one corresponding element of ..
(iii) one - many
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. ..
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..
One Sided Limit
We have discussed earlier about right hand limit and left hand limit. Both these limits are called one sided limits. x approaches a from the right side and through values greater than a. For a function f(x), we say as left hand Limit, as x approaches a from the left and through the v..
1)
Graph the following: x > 2 and y < 3 The solution set of the system of linear simultaneous inequations is the set of all points (x, y) which satisfies the given set of inequations. In the above graph, the common area of the inequations (shaded area) represents solution set. y < 3 is th..
Graph of Linear Equation in one variable
Graph of Linear Equation in one variable - ax + b = 0 is a linear equation in one variable. Consider the equation 2x + 4 = 0 2x = -4 x = -2 Since this equation is independent of y, for all values of y, x = -2 Hence x = -2 is a line parallel to the y-axis at x = -2. Consider the ..
Summary Linear Equations in One Variable
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 ..
Work done by a variable force (one dimensional case)
w j is the work done in the j th interval time; D w j = F ja D x Total work, W = D w j = F j a D x Geometrically, the work is equal to the area between the F(x) curve and the X-axis between the limits x i and x ..
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