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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

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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

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. 

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Chapter 7: Co-ordinate Geometry - Problem Set 7 [Page 99]

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