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by shashank.ism » Mon Feb 08, 2010 7:06 am
ABCD is a square of side 1 unit. P is a point on AB such that AP:PB = 1:3. If PC and BD intersect at a point X inside the square, then find the length of line segment PX.

a) 2/3 units
b) 15/28 units
c) 11/21 units
d) 4/7 units
e) None of these
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by sars72 » Tue Feb 16, 2010 11:52 am
PB/CD = BX/DX = XP/XC = 4

PC^2 = BC^2 + PB^2 = (9/16+1)BC^2 -> PC/BC = 5/4

-> (5/4)(BC/XP) = 7/3

-> XP/BC = 15/28

--> B
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