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The plane 2x – y + z = 4 intersects the line segment joining the points A(a, – 2, 4) and B(2, b, – 3) at the point C in the ratio 2 : 1 and the distance of the point C from the origin is 5 . If ab < 0 and P is the point (a – b, b, 2b – a) then CP 2 is equal to

1. 3 73
2. 3 16
3. 3 97
4. 3 17

Correct answer: 3 17

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