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edison (4927)

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Olaaa!! Perrrfect answer. 867  [1163 rates]

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Well done krish. The approach and solution suggested by krish is perfect. And

the answer is undoubtedly w2

Now lets take the QUERY of ariyam66

If we take x = y = z = k (say)

then the expression becomes

(xA + yB + zC)/(xB + yC + zA) = (x + yw + zw2)/(xw + yw2 + z)

= k(
1 + w + w2) / k (w + w2 + 1)

=
(1 + w + w2) /  (w + w2 + 1)

= 0/0 and this can not be equated to 1

As 0/0 is not defined.

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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