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Sets & Relations: Let Set Points Inside Square Set Points Inside

JEE Maths question with a full step-by-step solution.

Question
Let SS be the set of points inside a square, TT the set of points inside a triangle and CC the set of points inside a circle. If the triangle and circle intersect each other and are contained in the square, then:
AS∩T∩C=ϕS \cap T \cap C = \phi
BS∪T∪C=CS \cup T \cup C = C
CS∪T∪C=SS \cup T \cup C = Scorrect
DS∪T=S∩CS \cup T = S \cap C
Solution
The triangle and circle are contained in the square:
T⊆S,C⊆S.T \subseteq S, \qquad C \subseteq S.
∴S∪T∪C=S.\therefore S \cup T \cup C = S.
 Correct answer: (3)
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