Let P be the set of points inside the square, Q be the set of points inside the triangle and R be the set of points inside the circle. If the triangle and circle intersect each other and are contained in the square then,
A
P∩Q∩R≠ϕ
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B
P∪Q∪R=R
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C
P∪Q∪R=P
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D
P∪Q=R∪P
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Solution
The correct options are AP∩Q∩R≠ϕ CP∪Q∪R=P DP∪Q=R∪P P=The set of points inside the square
Q=The set of points inside the triangle
R=The set of points inside the circle
Then
P∩Q∩R≠ϕ[Since the set Q and R intersect each others and are contained in the square.]
And P∪Q∪R=P[Since the union of P and Q and R is the set of all points inside the square.]
P∪Q=R∪P
P=P [Since the set of points in the triangle and the circle are contained in the square.]