Advertisements
Advertisements
Question
In the given figure, line LM is parallel to the Y-axis.
- What is the distance of line LM from the Y-axis?
- Write the co-ordinates of the points P, Q and R.
- What is the difference between the x co-ordinates of the points L and M?
Advertisements
Solution
(i) The line LM is parallel to the Y-axis and passing through the point (3, 0).
The equation of the line LM is x = 3 and at a distance of 3 units to the right of the Y-axis.
Thus, the distance of line LM from the Y-axis is 3 units.
(ii) The x co-ordinate of a point is its distance from the Y-axis and y co-ordinate is its distance from the X-axis.
Thus, the co-ordinates of the points P, Q and R are (3, 2), (3, −1) and (3, 0), respectively.
(iii) x co-ordinate of point L = 3
x co-ordinate of point M = 3
∴ Difference between the x co-ordinates of the points L and M = 3 − 3 = 0
Thus, the difference between the x co-ordinates of the points L and M is 0.
APPEARS IN
RELATED QUESTIONS
Draw the graph of the equation 2x + 3y = 12. From the graph, find the coordinates of the
point: (i) whose y-coordinates is 3. (ii) whose x-coordinate is −3.
Give the geometric representation of the following equation
(a) on the number line (b) on the Cartesian plane : y + 3 = 0
Give the geometric representation of the following equation
(a) on the number line (b) on the Cartesian plane : 2x + 9 = 0
Give the geometrical representation of 2x + 13 = 0 as an equation in one variable .
Give the geometrical representation of 2x + 13 = 0 as an equation in two variables .
Write the equation of the line that is parallel to x-axis and passing through the point (0, 3) .
Write the equation of the line that is parallel to x-axis and passing through the point (0, -4) .
Write the equation of the line that is parallel to x-axis and passing through the point (3, 4) .
Write the equation of the line that is parallel to y-axis and passing through the point (4, 0) .
Write the equation of the line that is parallel to y-axis and passing through the point (3, 5) .
Write the equation of the line that is parallel to y-axis and passing through the point (− 4, −3) .
Write the equation of the line parallel to the X-axis at a distance of 5 units from it and below the X-axis.
The point Q(- 3,-2) lies on a line parallel to the Y-axis. Write the equation of the line and draw its graph.
Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.
x = 3
Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.
y − 2 = 0
Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.
x + 6 = 0
If 'a' is a real number, what is the distance between the Y-axis and the line x = a?
The equation 2x + 5y = 7 has a unique solution, if x, y are ______.
