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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
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Satpal singh Best Answer
First of all the question is about graphical points bcoz set is subset of R2.since both graphs have intersection points so A is connected set.For compactness iff closed +bounded. given set is not bounded. By the property of closed set A is closed . option b and c are right.
sir pls can u once show how its not bounded
and by which property set A is closed
you can see branch of parabola is infinite. so we can bount this branch.
for closed set it must contain all of its limit points
sir but how to determine if its containing all its limit points or not pls tell that
https://youtu.be/UsTaWfy56D0
for that see this video
sir that i know but in graph how will i decide if all limit points are in set or not
whenver u take a neighborhood of any point on the graph it will contain atleast one point of graph
this means each point on the graph is a limit point of A
ok sir .. now i got it ..thanks a lot sir