Advertisements
Advertisements
प्रश्न
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
उत्तर
We have
5x - 3y = 1
⇒ -3y = 1 - 5x
⇒ 3y = 5x - 1
⇒ y = `(5x - 1)/(3)`
When x = -2
⇒ y = `-(11)/(3)` = -3.66
When x = 0
⇒ y = `-(1)/(3)` = -0.33
When x = 2
⇒y = `(9)/(3)` = 3
| x | -2 | -1 | 0 | 1 | 2 |
| y | -3.66 | -2 | -0.33 | 1.33 | 3 |
Thus ordered pairs of 5x - 3y = 1 are {(-2, -3.66), (-1, -2), (0, -0.33), (1, 1.33), (2, 3)}. Hence graph is a below.
(i) x, when y = 8
From graph we find that x = 5, when y = 8
(ii) y, when x = 2
From graph we find that y = 3, when x = 2.
APPEARS IN
संबंधित प्रश्न
Draw the graph for the linear equation given below:
x = 3
Draw the graph for the linear equation given below:
y = `(2x)/(3) - 1`
Draw the graph for the linear equation given below:
y = `4x - (5)/(2)`
Draw the graph for the linear equation given below:
2x - 3y = 4
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
y = x - 3
y = - x + 5
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
2x - 3y = 6
`x/(2) + y/(3) = 1`
The graph of 3x + 2y = 6 meets the x=axis at point P and the y-axis at point Q. Use the graphical method to find the co-ordinates of points P and Q.
Draw the graph of the equation 3x - 4y = 12.
Use the graph drawn to find:
(i) y1, the value of y, when x = 4.
(ii) y2, the value of y, when x = 0.
Draw the graph of equation `x/(4) + y/(5) = 1` Use the graph drawn to find:
(i) x1, the value of x, when y = 10
(ii) y1, the value of y, when x = 8.
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)
