JEE Main Mathematics question

Mathematics Straight Lines JEE Main

Statement 1: Each point on the line is equidistant from the lines , Statement 2: The locus of a point which is equidistant from two given lines is the angular bisector of two the lines

(A)Assertion is True, Reason is True; Reason is correct explanation for AssertionCorrect
(B)Assertion is True, Reason is True; Reason is not correct explanation for Assertion
(C)Assertion is True, Reason is False
(D)Assertion is False, Reason is True

Answer: (A)

Solution

The lines are and , both with normaliser , so their angle bisectors are . The sign gives (the sign gives ), so is a

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Question ID VK-024439