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Consider the given universal set T and its subjects C, D and E
T = {0, 2, 4, 6, 8, 10, 12}
C = {4, 8,}
D = {10, 2, 0}
E = {0}
Find out
ii) D ∩ E
iii) C ∩ D ∩ E
show that the circle described on any focal chord of the parabola touches the directrix
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Calculate 50%
Bill spent 50% of his savings on school supplies, and then he spent 50% of what was left on lunch. If he had $6 left after lunch, how much did he have in savings at the starting?
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Solution i) D ∩ E = {10, 2, 0} ∩ {0} = {0} ii) C ∩ D ∩ E = {4, 8} ∩ {10, 2, 0} ∩ {0} = { } = Ø
Solution
i) D ∩ E = {10, 2, 0} ∩ {0} = {0}
ii) C ∩ D ∩ E = {4, 8} ∩ {10, 2, 0} ∩ {0} = { } = Ø
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