Graphical Method of Solving Linear Programming Problems
Choose the co...
Question
Choose the correct answer from the alternatives given. Value of the expression (a−b)2(b−c)(c−a)+(b−c)2(a−b)(c−a)+(c−a)2(a−b)(b−c) is.
A
0
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B
3
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C
13
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D
2
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Solution
The correct option is C3 (a−b)2(b−c)(c−a)+(b−c)2(a−b)(c−a)+(c−a)2(a−b)(b−c) (a−b)3+(b−c)3+(c−a)3(a−b)(b−c)(c−a) Since.(a−b)+(b−c)+(c−a)=a−b+b−c+c−a=0 ∴(a−b)3+(b−c)3+(c−a)3 =3(a−b)(b−c)(c−a)]