JEE Main 2020MathematicsStraight LinesMediumNumerical

JEE Main 2020 — Straight Lines Question with Solution

JEE Main 2020 (07 Jan Shift 1)

Question

Let A1,0,B6,2 and C32,6 be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC,APB and BPC have equal areas, then the length of the line segment PQ, where Q is the point -76,-13, is

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Show full solutionCorrect answer: 5
Correct answer
5

Step-by-step explanation

P must be centroid of ∆ABC
∴P176,83⇒PQ=2462+93=5 units

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About this question

This is a previous-year question from JEE Main 2020, covering the Straight Lines chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.