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If A and B are the points of intersection of the circle x 2 + y 2 – 8x = 0 and the hyperbola 1 4 y 9 x 2 2 = − and a point P moves on the line 2x – 3y + 4 = 0, then the centroid of Δ PAB lies on the line :

1. 4x – 9y = 12
2. x + 9y = 36
3. 9x – 9y = 32
4. 6x – 9y = 20

Correct answer: 6x – 9y = 20

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