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JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Easy
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Application +4 | -1
Let A(1,1),B(6,5),C(3/2,2)A(1,1), B(6,5), C(3 / 2,2) be the vertices of △ABC\triangle A B C. If a point PP is such that areas of △PAB,△PAC\triangle P A B, \triangle P A C and △PBC\triangle P B C are equal and Q(−76,−13)Q\left(-\frac{7}{6},-\frac{1}{3}\right) is a point, then PQ=P Q=
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Correct option: D
5
Option D (5) is correct because point P is the centroid of the triangle, and the distance PQ is calculated using the distance formula.

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