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In the following figure, LM is a line parallel to the y-axis at a distance of 3 units. What are the coordinates of the points P, R and Q? What is the difference between the abscissa of the points L - Mathematics

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Question

In the following figure, LM is a line parallel to the y-axis at a distance of 3 units.

  1. What are the coordinates of the points P, R and Q?
  2. What is the difference between the abscissa of the points L and M?

Sum

Solution

Given, LM is a line parallel to the Y-axis and its perpendicular distance from Y-axis is 3 units.

i. Coordinate of point P = (3, 2) [since, its perpendicular distance from X-axis is 2]

Coordinate of point Q = (3, –1) [since, its perpendicular distance from X-axis is 1 in negative direction of Y-axis].

Coordinate of point R = (3, 0) [since its lies on X-axis, so its y-coordinate is zero].

ii. Abscissa of point L = 3, abscissa of point M = 3

∴ Difference between the abscissa of the points L and M = 3 – 3 = 0

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Chapter 3: Coordinate Geometry - Exercise 3.3 [Page 30]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 3 Coordinate Geometry
Exercise 3.3 | Q 6. | Page 30

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