Advertisements
Advertisements
प्रश्न
Using the same axes of co-ordinates and the same unit, solve graphically :
x + y = 0 and 3x - 2y = 10.
(Take at least 3 points for each line drawn).
उत्तर
x + y = 0
y = - x;
The table of x + y = 0 is
| X | 5 | 2 | - 5 |
| Y | - 5 | - 2 | 5 |
3x - 2y = 10
⇒ x = `(10 + 2y)/(3)`
The table of 3x - 2y = 10 is
| X | 4 | 6 | 2 |
| Y | 1 | 4 | - 2 |
Now plotting the points on a graph and we get the following required graph:
The two lines intersect at (2, - 2)
∴ x = 2 and y = - 2
APPEARS IN
संबंधित प्रश्न
The sides of a triangle are given by the equations y - 2 = 0; y + 1 = 3 (x - 2) and x + 2y = 0.
Find, graphically :
(i) the area of a triangle;
(ii) the coordinates of the vertices of the triangle.
The cost of manufacturing x articles is Rs. (50 + 3x). The selling price of x articles is Rs. 4x.
On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.
Use your graph to determine:
No. of articles to be manufactured and sold to break even (no profit and no loss).
Solve graphically, the following equations.
x + 2y = 4; 3x - 2y = 4.
Take 2 cm = 1 unit on each axis.
Also, find the area of the triangle formed by the lines and the x-axis.
Use the graphical method to find the value of 'x' for which the expressions `(3x + 2)/(2) and (3)/(4)x - 2`
Solve the following equations graphically :
x + 4y + 9 = 0
3y = 5x - 1
Solve the following equations graphically :
`2 + (3y)/x = (6)/x`
`(6x)/y - 5 = (4)/y`
Solve the following system of linear equations graphically :
4x - 5y - 20 = 0
3x + 3y - 15 = 0
Determine the vertices of the triangle formed by the lines, represented by the above equations and the y-axis.
Draw the graph of the following equations :
3x + 2y + 6 = 0
3x + 8y - 12 = 0
Also, determine the co-ordinates of the vertices of the triangle formed by these lines and x-axis.
Solve the following system of equations graphically:
2x = 23 - 3y
5x = 20 + 8y
Also, find the area of the triangle formed by these lines and x-axis in each graph.
Solve graphically
x – y = 0, y + 3 = 0
