Q17 of 37 Page 195

If x ∝ y, y ∝ z and z ∝ x, let us find the product of three non zero constants.

Given: x ∝ y , y ∝ z and z ∝ x

It can be written as,


x = k y, y = m z and z = n x


where k, m and n are constant of variations.


Put the value of y in x,


We get,


x = k m z


Now put the value of z in x,


⇒ x = k m n x


⇒ k m n = 1


Thus the product of three non zero constants is 1.


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