question_answer

The set of points (x, y) satisfying the inequalities \[x+y\le 1,-x-y\le 1\] lies in the region bounded by the two straight lines passing through the respective pair of points

A) \[\{(1,0)(0,1)\}\] and \[\{(-1,0),(0,-1)\}\]

B) \[\{(1,0),(1,1)\}\] and \[\{(-1,0),(0,-1)\}\]

C) \[\{(-1,0),(0,-1)\}\] and \[\{(1,0),(-1,1)\}\]

D) \[\{(1,0),(0,-1)\}\] and \[\{(-1,0),(0,1)\}\]  

Correct Answer: A

Solution :

[a] Points are \[\{(1,0),\,\,(0,1)\}\] and \[\{(-1,0)\,\,and\,\,(0,-1)\}\]