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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).
if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#
Let a, b, c 2 Z + . (a) Prove that if a|b, then ac|bc for all c. (b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
Solve for x. 21x+6
2x=3+x
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Show that of all right triangles inscribed in a circle, the triangle with maximum perimeter is isosceles.
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If the difference among the squares of two consecutive integers is 15 find out the larger integer. Let x = the lesser integer and let x + 1 = the greater integer. The sentence,
Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system. Though, as we will see, this is not all time the easie
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