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Let ABC be the triangle such that the equations of lines AB and AC be 3y – x = 2 and x + y = 2, respectively, and the points B and C lie on x- axis. If P is the orthocentre of the triangle ABC, then the area of the triangle PBC is equal to

1. 4
2. 6
3. 8
4. 10

Correct answer: 6

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