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2. Many-one function
There is many-one correspondence between the elements of the set A and the set B..
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 equation y - 5 = 0 y - 5 = 0 y = 5 Since this equatio..
Example 1:
If R = {(1,2), (1,5),(2,4),(3,5)} Domain of R - 1 = {2, 5, 4} = Range of R Range of R - 1 = {1, 2, 3} = Domain o..
Question 1
Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 x=2, y=3 is not a solution of 8x-y=12 (b) Substitute x=2, y=3 in 2x+3y=10 2(2)+3(3)=10 4+9=10 x=2, y=3 is not a solution o..
Example 1:
Plot the graph of 2x+3y=..
Example 1:
x + 3 = 4 x + 3 - 3 = 4 - 3 [- 3 is added to both sides of the equati..
Step 1:
Divide by 'a' throughou..
Relations and Functions
In our daily life, we come across many relations such as father-son, brother-sister, teacher-student and many more. In mathematics too, we come across relations such as . A is a subset of B . line l is parallel to line m . number m is less than number n . In all these,..
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