Advertisements
Advertisements
Question
Draw the graphs of the following equations on the same system of co-ordinates. Write the co-ordinates of their points of intersection.
x + 4 = 0, y - 1 = 0, 2x + 3 = 0, 3y - 15 = 0
Advertisements
Solution
∴ x + 4 = 0
⇒ x = −4
x = −4 is the equation of the line parallel to Y-axis at a distance of 4 units from it to its left.
∴ y − 1 = 0
⇒ y = 1
y = 1 is the equation of the line parallel to X-axis at a distance of 1 unit and above the X-axis.
∴ 2x + 3 = 0
⇒ x = `-3/2`
`x = - 3/2` is the equation of the line parallel to Y-axis at a distance of `3/2` units from it to its left.
∴ 3y − 15 = 0
⇒ y = `15/3`
⇒ y = 5
y = 5 is the equation of the line parallel to X-axis at a distance of 5 units and above the X-axis.
It can be seen from the figure that the co-ordinates of the points of intersection are `(-3/2 , 1), (-3/2 , 5),(-4,5) "and" (-4,1)`.
APPEARS IN
RELATED QUESTIONS
The following distribution gives the daily income of 50 workers of a factory.
| Daily income (in ₹) | 200-220 | 220-240 | 240-260 | 260-280 | 280-300 |
| Number of workers | 12 | 14 | 8 | 6 | 10 |
Convert the distribution above to a 'less than type' cumulative frequency distribution and draw its ogive.
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:
y = - 2x
Draw the graph for the linear equation given below:
y = x
Draw the graph for the linear equation given below:
5x+ y = 0.
Draw the graph for the linear equation given below:
4x - y = 0
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)`
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 = 3x - 1
y = 3x + 2
On the same graph paper, plot the graph of y = x - 2, y = 2x + 1 and y = 4 from x= - 4 to 3.
Draw a graph of each of the following equations: x + 6y = 15
Draw a graph of each of the following equations: 3y + 2x = 11
Draw a graph of each of the following equations: 5x + 2y = 16
Draw a graph of the equation 2x - 3y = 15. From the graph find the value of:
(i) x, when y = 3
(ii) y, when x = 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 y = x + 2, y = 2x - 1 and y = 2 from x = -3 to 4, on the same graph paper. Check whether the lines drawn are parallel to each other.
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 2x - y = 8 and 4x + 3y = 6 on the same graph. Find the co-ordinates of the point where they intersect.
