Advertisements
Advertisements
प्रश्न
Draw the graph of the equation given below.
x + y = 2
Advertisements
उत्तर
The equation of the given line is x + y = 2.
x + y = 2
⇒ y = 2 − x ...(1)
Putting x = 0 in (1), we get
y = 2 − 0
y = 2
Putting x = 2 in (1), we get
y = 2 − 2
y = 0
Putting x = −1 in (1), we get
y = 2 − (−1)
y = 2 + 1
y = 3
Putting x = 5 in (1), we get
y = 2 − 5
y = −3
These values can be represented in the table in the form of ordered pairs as follows:
| x | 0 | 2 | -1 | 5 |
| y | 2 | 0 | 3 | -3 |
| (x, y) | (0, 2) | (2, 0) | (-1, 3) | (5, -3) |
The line is the graph of the equation x + y = 2.
APPEARS IN
संबंधित प्रश्न
The following table gives production yield in kg per hectare of wheat of 100 farms of a village:
| Production yield (kg/hectare): |
40 – 45 | 45 – 50 | 50 – 55 | 55 – 60 | 60 – 65 | 65 – 70 |
| Number of farms | 4 | 6 | 16 | 20 | 30 | 24 |
Change the distribution to 'a more than' type distribution, and draw its ogive.
Draw the graph for the linear equation given below:
y - 2 = 0
Draw the graph for the linear equation given below:
2y - 5 = 0
Draw the graph for the linear equation given below:
y = 0
Draw the graph for the linear equation given below:
y = - x
Draw the graph for the linear equation given below:
x = - 2y
Draw the graph for the linear equation given below:
y = 2x + 3
Draw the graph for the linear equation given below:
y = `4x - (5)/(2)`
Draw the graph for the each linear equation given below:
y = `(3x)/(2) + (2)/(3)`
Draw the graph for the linear equation given below:
`(x - 1)/(3) - (y + 2)/(2) = 0`
Draw the graph for the linear equation given below:
x + 5y + 2 = 0
Draw the graph for the equation given below:
3x + 2y = 6
Draw the graph of equation x + 2y - 3 = 0. From the graph, find:
(i) x1, the value of x, when y = 3
(ii) x2, the value of x, when y = - 2.
Draw the graph of equation 3x – 4y = 12. Use the graph drawn to find:
- y1, the value of y, when x = 4.
- y2, the value of y, when x = 0.
Find if the following points are collinear or not by using a graph:
(i) (-2, -1), (0, 3) and (1, 5)
(ii) (1, 3), (-2, -4) and (3, 5)
(iii) (2, -1), (2, 5) and (2, 7)
(iv) (4, -1), (-5, -1) and (3, -1)
Draw a graph of each of the following equations: x + y - 3 = 0
Draw a graph of the equation 5x - 3y = 1. From the graph find the value of:
(i) x, when y = 8
(ii) y, when x = 2
Draw the graph of the lines represented by the equations x + y = 4 and 2x - y = 2 on the same graph. Find the coordinates of the point where they intersect
Draw the graph of the lines represented by the equations 3x - 2y = 4 and x + y = 3 on the same graph. Find the coordinates of the point where they intersect. State, whether the lines are perpendicular to each other.
