Let O be the origin and let A (1,0), B (0,1) be two pointegr... | MATH - SYSTEM OF CO-ORDINATES, DISTANCE BETWEEN | SolveeIt | Solveeit

Today, August 19

Question

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-

A

P lies either inside DOAB or in third quadrant

B

P can not be inside DOAB

C

P lies inside the DOAB

D

None of these

Answer

P lies either inside DOAB or in third quadrant

Explanation

Solution

Points satisfying to xy > 0, either lie in the Ist quadrant or in the third quadrant. Now point to satisfy x + y – 1 < 0 simultaneously. So (1) choice is correct.