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Question

Let S = the set of points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then,
(a) S ∩ T ∩ C = ϕ
(b) S ∪ T ∪ C = C
(c) S ∪ T ∪ C = S
(d) S ∪ T = S ∩ C

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Solution

Let S = the set of points inside the square
T = the set of points inside the triangle
C = the set of points inside circle
Given triangle and circle intersect each other and are contained in a square
i.e T and C are in square

⇒ S ⋃ T ⋃ C = S
Hence, the correct answer is option C.

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