﻿ Let O be the origin, A (1, 0) and B (0, 1) and P (x, y) are points such thatxy > 0 and x + y < 1, then : Kaysons Education

# Let O be The Origin, A (1, 0) And B (0, 1) And P (x, y) Are Points Such Thatxy > 0 And x + Y < 1, Then

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## Question

### Solution

Correct option is

P lies either inside the triangle OAB or in the third quadrant

Since xy > 0, P either lies in the first quadrant or in the third quadrant. The inequality x + y < 1 represents all points below the line x + y = 1. So that xy > 0 and x + y < 1 imply that either P lies inside the triangle OAB or in the third quadrant.

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