Assertion: The point P(−6, −4) lies in quadrant III.
Reason: The signs of points in quadrants I, II, III and IV are respectively (+, +), (−, +), (−, −) and (+, −).
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

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Solution

(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
Explanation:
Assertion (A): The point P(-6,-4) lies in quadrant III. This is a true statement, as points of the type (-,-) lie in quadrant III.
Reason (R): The signs of the points in quadrants I, II, III and IV are (+, +), (−,+), (−,−) and (+,−), respectively. This is also a true statement.
Clearly, reason ( R) justifies assertion (A), as those points of the type (-,-) lie in quadrant III.
Hence, (a).

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