Advertisements
Advertisements
प्रश्न
Solve graphically
`x/2 + y/4` = 1, `x/2 + y/4` = 2
Advertisements
उत्तर
`x/2 + y/4` = 1
multiply by 4
2x + y = 4
y = −2x + 4
| x | −3 | −1 | 0 | 2 |
| y | 10 | 6 | 4 | 0 |
Plot the points (−3, 10), (−1, 6), (0, 4) and (2, 0) in the graph sheet
`x/2 + y/4` = 2
multiply by 4
2x + y = 8
y = −2x + 8
| x | −2 | −1 | 0 | 2 |
| y | 12 | 10 | 8 | 4 |
Plot the points (−2, 12), (−1, 10), (0, 8) and (2, 4) in the same graph sheet.
The given two lines are parallel.
∴ They do not intersect a point.
∴ There is no solution.
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.
Find graphically, the vertices of the triangle whose sides have the equations 2y - x = 8; 5y - x = 14 and y - 2x = 1 respectively. Take 1 cm = 1 unit on both the axes.
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).
Solve the following equations graphically :
2x + 4y = 7
3x + 8y = 10
Solve the following equations graphically :
2x - y = 9
5x + 2y = 27
Solve the following equations graphically :
x = 4
`(3x)/(3) - y = 5`
Solve the following equations graphically :
2x - 6y + 10 = 0
3x - 9y + 25 = 0
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 graphically
x = −3, y = 3
Two cars are 100 miles apart. If they drive towards each other they will meet in 1 hour. If they drive in the same direction they will meet in 2 hours. Find their speed by using graphical method.
