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Define tautology and contradiction.
Ans: If a compound proposition comprises two atomic propositions as components, after that the truth table for the compound proposition consists of four entries. These four entries might be all T, may be all F, might be one T and three F and etc. There are in total 16 (24) probabilities. The possibilities while all entries in the truth table is T, involves that the compound proposition is all time true. This is called tautology.
Though, when all the entries are F, it implies that the proposition is never true. This situation is considered as contradiction.
If α & ß are the zeroes of the polynomial 2x 2 - 4x + 5, then find the value of a.α 2 + ß 2 b. 1/ α + 1/ ß c. (α - ß) 2 d. 1/α 2 + 1/ß 2 e. α 3 + ß 3 (Ans:-1, 4/5 ,-6,
Prove that if x is a real number then [2x] = [x] + [x + ½ ] Ans: Let us consider x be any real number. It comprises two parts: integer and fraction. With no loss of
Here we need to see the inverse of a matrix. Provided a square matrix, A, of size n x n if we can get the other matrix of similar size, B that, AB = BA = I n after that we call
Formulate LLP
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what is the differeance in between determinate and matrix .
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A circle touches the sides of a quadrilateral ABCD at P, Q, R and S respectively. Show that the angles subtended at the centre by a pair of opposite sides are supplementary.
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