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State DeMorgan's law. Prove it using the truth table.
Ans: DeMorgan's law defines that
(i) (x ∨ y)' = x' ∧ y'
(ii) (x ∧ y)' = x' ∨ y'
Now let us draw truth table for the two statements
It is clear from the truth table that column (3) is equal to column (4). Likewise column (5) is equal to column (6).
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Find the middle term of the AP 1, 8, 15....505. A ns: Middle terms a + (n-1)d = 505 a + (n-1)7 = 505 n - 1 = 504/7 n = 73 ∴ 37th term is middle term a 37
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The base and corresponding altitude of a parallelogram are 10 cm and 12 cm reap. If the other altitude is 8 cm , find the length of the other pair of parallel side
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