JAMIA 2024 Mathematics PYQ — Region represented by x > 0, y > 0 is… | Mathem Solvex | Mathem Solvex
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JAMIA 2024 — Mathematics PYQ
JAMIA | Mathematics | 2024
Region represented by x > 0, y > 0 is
Choose the correct answer:
A.
First quadrant
(Correct Answer)
B.
Second quadrant
C.
third quadrant
D.
fourth quadrant
Correct Answer:
First quadrant
Explanation
Analysis
Understanding x > 0:
This inequality represents all points to the right of the y-axis. It excludes the axis itself because it is a "greater than" (not "greater than or equal to") relation.
Understanding y > 0:
This inequality represents all points above the x-axis.
The Intersection:
When we combine both conditions (x > 0andy > 0), we are looking for the area where points are both to the right of the vertical axis and above the horizontal axis.
Conclusion
The region represented by x > 0 and y > 0 is the First Quadrant.
Explanation
Analysis
Understanding x > 0:
This inequality represents all points to the right of the y-axis. It excludes the axis itself because it is a "greater than" (not "greater than or equal to") relation.
Understanding y > 0:
This inequality represents all points above the x-axis.
The Intersection:
When we combine both conditions (x > 0andy > 0), we are looking for the area where points are both to the right of the vertical axis and above the horizontal axis.
Conclusion
The region represented by x > 0 and y > 0 is the First Quadrant.
