Question
If (a + b + c) = 9, find (a – 4)² + (b – 2) ² + (
c – 3) ² - 3(a – 4 ) (b – 2 ) (c – 3).Solution
a + b + c = 9 a + b + c = 4 + 2 + 3 (a – 4 ) + (b – 2) + (c – 3) = 0 If x + y + z = 0 x² + y² + z² = 3abc (a – 4)² + (b – 2) ² + ( c – 3) ² = 3(a – 4 ) (b – 2 ) (c – 3) (a – 4)² + (b – 2) ² + ( c – 3) ² - 3(a – 4 ) (b – 2 ) (c – 3) = 0
Statement: F ≥ I ≥ S ≥ H ≥ Y
Conclusion: I. H ≤ F II. Y ≤ I
...Statements: B & T, K ⋆ B, S ⋆ K
Conclusions: a) K ⋆ T b) S # T
...Statement: M < N ≤ O = P, Q ≥ O ≤ R ≤ Z
Conclusion: I. Q > M II. Z > M
...If “M % N # O © P @ S © T $ W” is true then which of the following is definitely not true?
(i) M # P
(ii) O © T
(iii) N #...
Statements: H < I; J < L < K; H ≥ L > M
Conclusions:
I. J < I
II. M < K
III. K > I
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and th...
In the question, assuming the given statements to be true, Find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Which of the following symbols should replace the sign ($) and (#) in the given expression in order to make the expressions V ≥ Y and X > B definitel...
Statements: B % C & Q @ F $ D; R % B # S
Conclusions : I. D % C II. B % Q III. R @ ...
Statement: F < G < H ≥ J; F ≥ K > L
Conclusion:
I. H > L
II. H = L
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