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Laws of Set Algebra
From the given Venn diagram where T is the universal set and A its subset that we can deduce a number of laws as:
i. A υ Ø = A
ii. A υ T = T
iii. A υ A = A
iv. A ∩ A = A
v. A ∩ T = A
vi. A υ A1 = T
vii. A υ A1 = Ø
viii. (A1)1 = A
Write down the equation of the line which passes through the points (2, -1, 3) and (1, 4, -3). Write all three forms of the equation of the line. Solution To do the above
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If the distances from origin of the centres of 3 circles x 2 +y 2 +2alphaix= a 2 (i=1,2,3) are in G.P. , then length of the tangents drawn to them frm any point on the circles x2+
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