Straight Line Question 257

Question: P (m, n) (Where m, n are natural numbers) is an 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 point P is

Options:

A) Six

B) Five

C) Four

D) Eleven

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] m<5 and n<4 so, $ 1\le m<5 $ and $ 2\le n\le 4 $ Also $ 2m+n-2>0 $ and $ 4m+5n-20<0. $ under these condition possible coordinates are $ (1,1),(1,2),(1,3),(2,1),(2,2),(3,2) $