Let O be the origin, and let A (1, 0), B (0, 1) be two points. If P(x,y) is a point such that xy>0 and x+y<1 , then

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P lies either inside ΔOAB or in third quadrant

P cannot be inside ΔOAB

P lies inside theΔOAB

None of the above

answer is A.

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Detailed Solution

∵ xy>0 Then x>0,y>0 or x<0,y<0∵ P(x,y)∴ P lies in I quadrant or in III quadrant, given x+y<1∴ P lies either inside ΔOAB or in third quadrant.

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