JEE Main 2014 Mathematics question

MathematicsStraight LinesJEE Main 2014

Given three points P, Q, R with P(5, 3) and R lies on the x−axis. If the equation of RQ is and PQ is parallel to the x−axis, then the centroid of lies on the line

Answer: (3)

Solution

R is the point where meets the x-axis: y = 0 gives R(2, 0). PQ is horizontal through P, so Q has y = 3; substituting in

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Question ID VK-104414