# Statement 1: The internal angle bisector of angle  of a triangle  with sides  and  as  and , respectively is Statement 2: Image of point  with respect to  lies on side  of the triangle a) Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1 b) Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1 c) Statement 1 is True, Statement 2 is False d) Statement 1 is False, Statement 2 is True

## Question ID - 54540 :- Statement 1: The internal angle bisector of angle  of a triangle  with sides  and  as  and , respectively is Statement 2: Image of point  with respect to  lies on side  of the triangle a) Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1 b) Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1 c) Statement 1 is True, Statement 2 is False d) Statement 1 is False, Statement 2 is True

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(b)

Bisectors of angle  are

or   and

According to given equations of sides, internal angle bisector at  will have negative slope. Also, image of  will lie on  respect to both bisectors, from which we can conclude that  is internal angle bisector. Hence, statement 2 is not correct explanation of statement 1

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 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) Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1 b) Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1 c) Statement 1 is True, Statement 2 is False d) Statement 1 is False, Statement 2 is True