Which of the following points lie on the y-axis? A (1, 1), B (1, 0), C (0, 1), D (0, 0), E (0, -1), F (-1, 0), G (0, 5), H (-7, 0), I (3, 3)
Solution:
Given, the points are A (1, 1), B (1, 0), C (0, 1), D (0, 0), E (0, - 1), F (- 1, 0), G (0, 5), H (- 7, 0), I (3, 3).
We have to find the points which lie on the y-axis.
Considering the point A(1, 1)
The x-coordinate is 1 and the y-coordinate is 1
The point A lies on the first quadrant
Considering the point B(1, 0)
The x-coordinate is 1 and y-coordinate is 0.
The point B lies on the x-axis
Considering the point C(0, 1)
The x-coordinate is 0 and the y-coordinate is 1
The point C lies on the y-axis
Considering the point D(0, 0)
The x-coordinate is 0 and y-coordinate is 0.
The point D is the point of intersection of both axes
The point D is the origin.
Considering the point E(0, -1)
The x-coordinate is 0 and the y-coordinate is -1
The point E lies on the negative y-axis.
Considering the point F(-1, 0)
The x-coordinate is -1 and the y-coordinate is 0
The point F lies on the negative x-axis
Considering the point G(0, 5)
The x-coordinate is 0 and the y-coordinate is 5
The point G lies on the y-axis
Considering the point H(-7, 0)
The x-coordinate is -7 and the y-coordinate is 0
The point H lies on the negative x-axis
Considering the point I(3, 3)
The x-coordinate is 3 and the y-coordinate is 3
The point I lies on the first quadrant.
Therefore, the points C, D, E and G lie on the y-axis.
✦ Try This: Which of the following points lie on the y-axis? P (2, 2), Q (2, 0), R(0, 3), S(0, 0), T(0, -2), U(4, 5).
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 3
NCERT Exemplar Class 9 Maths Exercise 3.3 Problem 8
Which of the following points lie on the y-axis? A (1, 1), B (1, 0), C (0, 1), D (0, 0), E (0, -1), F (-1, 0), G (0, 5), H (-7, 0), I (3, 3)
Summary:
The point on the y-axis is of the form (0, y). Out of the following points A (1, 1), B (1, 0), C (0, 1), D (0, 0), E (0, - 1), F (- 1, 0), G (0, 5), H (- 7, 0), I (3, 3), the points C, D, E and G lie on the y-axis
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