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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
Express the GCD of 48 and 18 as a linear combination. (Ans: Not unique) A=bq+r, where o ≤ r 48=18x2+12 18=12x1+6 12=6x2+0 ∴ HCF (18,48) = 6 now 6
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1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 an
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assignment of mathematics in b.sc. 1sem
A triangle has vertices A (-1, 3, 4) B (3, -1, 1) and C (5, 1, 1). The area of ABC is a) 30.1 b) 82.1 c) 9.1 d) 52.1
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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