Question
Question: Let O be the origin, A (1, 0) and B (0, 1) and P(x, y) are points such that xy\> 0 and x+y\< 1, then...
Let O be the origin, A (1, 0) and B (0, 1) and P(x, y) are points such that xy> 0 and x+y< 1, then-
A
P lies either inside the triangle OAB or in the third quandrant
B
P can not lie insidethetriangle OAB
C
P liesinsidethetriangle OAB
D
P lies in thefirstquadrantonly
Answer
P lies either inside the triangle OAB or in the third quandrant
Explanation
Solution
xy > 0 Ž I or III quadrant
x + y < 1 Ž below the line x + y = 1