Computer-Graphics
November 15, 2024GATE 2001
November 17, 2024APPSC-2016-DL-CS
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Question 9
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Let A, B and C are finite sets. Which of the following options is TRUE, if X=((A∩B)-(B∩C)) and Y=(A-(A∩C))-(A-B)?
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X⊂Y
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X⊃Y
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X=Y
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X-Y≠φ and Y-X≠φ
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Question 9 Explanation:
Now,
x=((AB)-(BC))
=(b,c)-(e,f))
=b
y=(A-(AC))-(A-B)
=((a,b,d,e)-(d,e))-(a,d)
=(a,b)-(a,d)
=b
Hence, x=y
Correct Answer: C
Question 9 Explanation:
Now,
x=((AB)-(BC))
=(b,c)-(e,f))
=b
y=(A-(AC))-(A-B)
=((a,b,d,e)-(d,e))-(a,d)
=(a,b)-(a,d)
=b
Hence, x=y