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Direct Variation

If x ∝ y, y ∝...

Question

If x ∝ y , y ∝ z and z ∝ x , then the product of the 3 non - zero variation constant is :

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xyz

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Can't be determined

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Solution

The correct option is C
1

x ∝ y means x = ky

$\Rightarrow$ k = x/y

y ∝ z means y = mz

$\Rightarrow$ m = y/z

z ∝ x means z = nx

$\Rightarrow$ n = z/x

kmn = x/y * y/z * z/x = 1

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