First slide

Cartesian plane

Question

P (m, n) (where m, n are natural numbers) is any point in the interior of the quadrilateral formed by the pairs of lines x y = 0 and the lines 2x + y – 2 = 0 and 4x + 5y = 20. The possible number of positions of the points P is

Easy

A

7
B

5
C

4
D

6

Solution

There are clearly seven points
At the ordinate x = 1 , there are 3 points At the ordinate x = 2 , there are 2 points
At the ordinate x = 3 , there is 1 point At the ordinate x = 4 , there is 1 point

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