Test Index

GATE Mathematics 2013 Paper

© examsnet.com

Question : 53

Total: 65

Let X={(x,y)∈R2:x2+y2=1} ∪([−1,1]×{0})∪({0}×[−1,1]).
Let n0=max{k∶k<∞, there are k distinct points p1,…,pk∈X‌ such that ‌X\{p1,…,pk} is connected }
Let q1,…,qn0+1 be n0+1 distinct points and Y=X\{q1,…,qn0+1}. Let m be the number of connected components of Y. The maximum possible value of m is ______

1
10
8
7

Go to Question:

Prev Question

Next Question