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Question

Given that x,y,z are all distinct and a is constant. Then find the value of x2(a−y)(a−z)(x−y)(x−z)+y2(a−z)(a−x)(y−z)(y−x)+z2(a−x)(a−y)(z−x)(z−y)

A
x2
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B
(x+2)2
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C
(x-6)2
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D
(x-4)2
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Solution

The correct option is A x2

Assume values. Take x=1, y=2, z=3 and a=1

Substitute in equation and the result you get is 1.

Look in the answer options for 1.


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