point is at a distance of 2 units from x-axis and 3 units from y-axis. Then the coordinates of two of such points could be (a) (2, 3) or (2, –3) (b) (–2, –3) or (–2, 3) (c) (3, 2) or (–3, –2) (d) (3, 3) or (2, 2)
Answers
Answer:
(2,3) or (2,-3)
Step-by-step explanation:
they are two coordinates.
Given:
A point in a 2-D coordinate system with a distance of 2 units from the X-axis and 3 units from the Y-axis.
To Find:
The coordinates of two such points in the 2D coordinate system.
Solution:
The above problem can be solved by using the properties of 2-D coordinate geometry.
1. The Distance of the point P( x, y) is y units from the X-axis and x units from the y-axis respectively.
2. The distance can never be negative irrespective of the sign of the coordinates. (Ignore the negative signs of the coordinates)
- For Example, the distance of the point P ( -1, -2) from the X and Y-axis are 2 and 1 units respectively.
3. It is given that the coordinates (x, y) are at a distance of 2 units from the X-axis and 3 units from the Y-axis.
4. Therefore, from the mentioned properties above in points 1 and 2,
- The possible coordinates can be (3, 2) and (-3, -2) as it satisfies both the mentioned properties.
Therefore, the two possible points are (3, 2) and (-3, -2). (Option C).