MathematicsHard249×since 2002Q2460The plane 2x−y+z=42x-y+z=42x−y+z=4 intersects the line segment joining the points A (a,−2,4)a,-2,4)a,−2,4) and B (2,b,−3)2,b,-3)2,b,−3) at the point C in the ratio 2 : 1 and the distance of the point C from the origin is 5\sqrt55. If ab<0ab < 0ab<0 and P is the point (a−b,b,2b−a)(a-b,b,2b-a)(a−b,b,2b−a) then CP2^22 is equal to :A173\frac{17}{3}317B973\frac{97}{3}397C163\frac{16}{3}316D733\frac{73}{3}373Check answerSkip