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Question

# Assertion: If a≠b, then (a,b)≠(b,a).Reason: (4,−3) lies in Quadrant IV(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

## Assertion (A): If a≠b then (a,b)≠(b,a)A point represent a location in cartesian plane. If the coordinates of a point are not equal them after interchanging them their location on cartesian plane also changes.Observe the following figure, here the location of the points A(1,2) and B(2,1) are different.i.e., the statement a≠b then (a,b)≠(b,a) is true.Reason ( R ): (4,−3) lies in Quadrant IV.Here, x-coordinate =4 is positivey-coordinate =−3 is negative.So, (4,−3) is in the form of (+,−).Since, in Quadrant IV, any point is in the form of (+,−).Hence, the statement (4,−3) lies in Quadrant IV is true.But, the reason does not justify the assertion.i.e., Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.​Hence, the correct answer is (b).

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