question_answer

\[P(m,\,n)\] (where, m and n are natural numbers) is any point in the interior of the quadrilateral formed by the pair of lines,\[xy=0\] and the two lines, \[2x+y-2=0\] and \[4x+5y=20\]. The possible number of positions of the P is

A)  6                                

B)  5                

C)  4                                

D)  11

Correct Answer: A

Solution :

  Clearly, from the figure, there are six points.