Math Doubts

2. Please See Here http://www.artofproblemsolving.com/Forum/viewtopic.php?f=151&t=457014

First one, I haven't done till now. But Now since you have awakened me (thanks) , I'll try again.

@ ADitya

2) The region M consists of all the points (x,y) satisfying the inequalities y ≥ 0 , y≤ x and y≤2-x.
the region M which is varying with the parameter 't' consists of all points which satisfy t ≤ x≤ t+1 for t \in [0,1] then min(area(M intersection N) = ?

I think regarding this question, the answer given is wrong. It should be 1/2 . Isn't?

yes vivek,it should be 1/2 .