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MOTION IN STRAIGHT LINE - L3...

MOTION IN STRAIGHT LINE - L3

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Let ABC be a triangle in which AB = AC. Let L be the locus of points X inside or on the triangle such that BX = CX. Which of the following statements are correct? 1. L is a straight line passing through A and in-centre of triangle ABC is on L. 2. L is a straight line passing through A and orthocentre of triangle ABC is a point on L. 3. L is a straight line passing through A and centroid of triangle ABC is a point on L. Select the correct answer using the code given below.

A straight line L.through the origin meets the lines x+y=1 and x+y=3 at P and Q respectively.Through P and Q two straight lines L_(1), and L_(2) are drawn,parallel to 2x-y-5 and 3x+y5 respectively.Lines L_(1) and L_(2) intersect at R.Locus of R, as L varies, is