On the portion of the straight line x + y = 2 which is intercepted between the axes, a square is constructed away from the origin, with this portion as one of its side. If p denotes the perpendicular distance of a side of this square from the origin, then the maximum value of p is
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a
2
b
22
c
32
d
42
answer is C.
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Detailed Solution
p = ON = OM + MN = ⊥ distance fromO to the line AB + AD=22+22=2+22=32