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Straight Lines and Pair of Straight Lines question

2020 · 7 Jan · Shift 1 · Q32
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Straight Lines and Pair of Straight Lines question

2020 · 7 Jan · Shift 1 · Q32

JEE MainMathematicsStraight Lines and Pair of Straight LinesNumerical+4 / −1
Let A(1, 0), B(6, 2) and C (32,6)\left( {{3 \over 2},6} \right)(23​,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)\left( { - {7 \over 6}, - {1 \over 3}} \right)(−67​,−31​), is ‾\underline{\hspace{2cm}}​.
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