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Let ABC be a triangle formed by the lines 7x – 6y + 3 = 0, x + 2y –31 = 0 and 9x –2y–19 = 0, Let the point (h,k) be the image of the centroid of Δ ABC in the line 3x + 6y –53 = 0. Then h 2 + k 2 + hk is equal to :

1. 37
2. 47
3. 40
4. 36

Correct answer: 37

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