Mathematics
Assertion (A): The point P(3, -5) lies in quadrant II and the point Q(-2, -1) lies in quadrant III.
Reason (R): The signs of a point in I, II, III and IV quadrants are respectively (+, +), (-, +), (-, -) and (+, -).
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).
Coordinate Geometry
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Answer
Point P(3, -5):
The x-coordinate is positive, and the y-coordinate is negative.
A point with a positive x-coordinate and a negative y-coordinate lies in quadrant IV.
Point Q(-2, -1):
The x-coordinate is negative, and the y-coordinate is negative.
A point with a negative x-coordinate and a negative y-coordinate lies in quadrant III.
∴ Assertion (A) is false.
Quadrant I: x-coordinate is positive, y-coordinate is positive (+, +).
Quadrant II: x-coordinate is negative, y-coordinate is positive (-, +).
Quadrant III: x-coordinate is negative, y-coordinate is negative (-, -).
Quadrant IV: x-coordinate is positive, y-coordinate is negative (+, -).
∴ Reason (R) is true.
∴ Assertion (A) is false, Reason (R) is true.
Hence, option 2 is the correct option.
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