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MATHS 2 Marks Questions

Coordinate Geometry · Rajasthan Board (RBSE) STD 9 (Rajasthan - English Medium). 3 questions.

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2 Marks Questions

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Question 12 Marks
Plot the points (x, y) given by the following table:
x
2
4
-3
-2
3
0
y
4
2
0
5
-3
0
Answer
On plotting the given points on the graph, we get the points P(2, 4), Q(4, 2), R(-3, 0), S(-2, 5), T(3, -3)and O(0, 0).
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Question 22 Marks
Which of the following points lie on y-axis?
A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), S(0, 5), H(7, 0), I(3, 3).
Answer
We know that if a point lies on the y-axis, its abscissa is 0 and its ordinate is the y-value and its coordinate are (0, y).
Hence, C(0, 1), E(0, -1), G(0, 5) are the points which lie on y-axis.
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Question 32 Marks
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?
Answer
Given LM is a line parallel to the Y-axis and its perpendicular distance from Y-axis is 3 units.
  1. 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].
  1. 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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