English
Maharashtra State BoardSSC (English Medium) 9th Standard

In the given figure, line LM is parallel to the Y-axis. (i) What is the distance of line LM from the Y-axis? (ii) Write the co-ordinates of the points P, Q and R. - Geometry

Advertisements
Advertisements

Question

In the given figure, line LM is parallel to the Y-axis.

  1. What is the distance of line LM from the Y-axis?
  2. Write the co-ordinates of the points P, Q and R.
  3. What is the difference between the x co-ordinates of the points L and M? 
Answer in Brief
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. 

shaalaa.com
  Is there an error in this question or solution?
Chapter 7: Co-ordinate Geometry - Problem Set 7 [Page 99]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 7 Co-ordinate Geometry
Problem Set 7 | Q 5. | Page 99

RELATED QUESTIONS

Give the geometric representations of y = 3 as an equation in one variable.


Give the geometric representations of 2x + 9 = 0 as an equation in one variable.


Give the geometric representations of 2x + 9 = 0 as an equation in two variables.


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 :   3x – 5 = 0


Give the geometrical representation of 2x + 13 = 0 as an equation in one variable .


Solve the equation 3x + 2 = x − 8, and represent the solution on the
Cartesian plane .


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  (−2, 0 ) .


Write the equation of the line that is parallel to y-axis and passing through the point (3, 5) .


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 + 6 = 0


Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.

y = -5


The point of the form (a, a) always lies ______.


Let y varies directly as x. If y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×