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

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

Answers (1)

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Answer: 
(i) P = (3, 2)
R = (3, 0)
Q = (3, -1)
(ii) 0

Solution.

We have,

All the points lie on a line where x coordinate is fixed, i.e., 3.
(i) Coordinate of the points P
Distance from x-axis: 2 units
So coordinates are (3, 2)
Coordinate of the points R
Distance from x-axis: 0 unit
So coordinates are (3, 0)
Coordinate of the points Q
Distance from x-axis: -1 unit
So coordinates are (3, -1)
(ii) Abscissa is the x-axis (horizontal) coordinate
All the points lie on a line where x coordinate is fixed, i.e., 3.
So abscissa of L and M is the same, i.e., 3
Hence difference = 3 - 3 = 0

 

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