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Q.

On the portion of the straight line x + y = 4 which is intercepted between the axes, a square is constructed away from the origin, with the portion as one of its side. If ‘d’ denote the perpendicular distance of a side of this sqaure from the origin, then maximum value of ‘d’ is

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a

22

b

32

c

42

d

62

answer is D.

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Detailed Solution

Distance from origin to x + y - 4 = 0 is 42=22Side length =16+16=42Max Distance =22+42=62
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On the portion of the straight line x + y = 4 which is intercepted between the axes, a square is constructed away from the origin, with the portion as one of its side. If ‘d’ denote the perpendicular distance of a side of this sqaure from the origin, then maximum value of ‘d’ is