Example:
Find at least 3 sets of values for the variables satisfying the equation. 2x+y=5 Express y in terms of x. y=5-2x Select three values of x, find corresponding values of y. x=0, y=5-(2x0)=5 x=1, y=5-(2x1)=3 x=-1, y=5-(-2)=7 Draw the x and y - axes. Choose a suitable scale so as to locate the sel..
Find at least 3 sets of values for the variables satisfying the equation. 2x+y=5 Express y in terms of x. y=5-2x Select three values of x, find corresponding values of y. x=0, y=5-(2x0)=5 x=1, y=5-(2x1)=3 x=-1, y=5-(-2)=7 Draw the x and y - axes. Choose a suitable scale so as to locate the sel..2)
Graph the following: Consider the equations, ..
Graph the following: Consider the equations, ..Linear Inequations Summary
Linear Inequations Summary - A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane. A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are als..
Linear Inequations Summary - A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane. A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are als..Suggested answer:
Plot the graph of 3x-2y=6 3x-2y=6 3x=6+2y ..
Plot the graph of 3x-2y=6 3x-2y=6 3x=6+2y ..Suggested answer:
Plot the graph of 4x+y=4 Put y = -4, x=2 Put y = 8, x=-1 Put y = -8, x=3..
Plot the graph of 4x+y=4 Put y = -4, x=2 Put y = 8, x=-1 Put y = -8, x=3..Domain, Range of relation-Arrow Diagram
Representation of a Relation - (i) Roster form(i) Roster form (ii) Set builder form (iii) By tables (iv) Arrow diagram (v) By graphs (i) Roster form: The ordered pairs are listed, R = {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5)} Where A = {1, 2, 3, 4, 5} and R means 'is twice' in A x A xRy m..
Representation of a Relation - (i) Roster form(i) Roster form (ii) Set builder form (iii) By tables (iv) Arrow diagram (v) By graphs (i) Roster form: The ordered pairs are listed, R = {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5)} Where A = {1, 2, 3, 4, 5} and R means 'is twice' in A x A xRy m..Function Solved Examples
The roster form is S = {(-2, 5), (-1, -1), (0, -3), (1, -1), (2, 5)}. Yes, S is a function. It is many-one and into function. Domain = {-2, -1, 0, 1, 2} = A ; Range = {-3, -1, 5}; Co-Domain = {-3, -1, 1, 5} = B. (i) Find the domain and the range of the function. (ii) Draw the Cartesian graph..
Problems on Limits
Here is a list of problems solved using the identities of limits, standard limits, limits theorem explained above....
Algebraic identity
An algebraic identity is a statement of equality between two algebraic expressions, but it is satisfied for all values of the variabl..
Problems on Simultaneous Equations
Solve the following Systems of linear equations : 1. If one number is thrice the other and their sum is 60, find the numbers. 2. Find the fraction which becomes 1/2 when the denominator is increased by 5 and is equal to 1/3 when the numerator is diminished by 4..
Result
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