Question
Download Solution PDFOne of the vertices of a square is the origin and the adjacent sides of the square are coincident with the negative x-axis. If a side is 3 then which pair will not be its vertex.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The coordinate axis divides the plane into four equal parts.
1. First Quadrant: (+, +)
2. Second Quadrant: (-, +)
3. Third Quadrant: (-, -)
4. Fourth Quadrant: (+, -)
Calculation:
According to the question, the side of the square is 3 units. Therefore,
There are two possible squares with one of the adjacent sides along the negative x-axis
Clearly, we can see that, possible coordinates of square are
Case 1: (0, 0), (-3, 0), (-3, 3) & (0, 3)
Case 1: (0, 0), (-3, 0), (-3, -3) & (0, -3)
Hence, coordinates (0, -3) & (3, 0) are not possible because point (3, 0) belongs to positive x-axis.
Hence, option 3 is correct.
Last updated on Jun 19, 2025
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