Let us write whether the following statements are true or false :

i. If non-zero constant.

ii. If x ∝ z and y ∝ z then y ∝ z

(i) Given:

⇒ xy = k = non zero constant

Hence, given statement is not true.

(ii) Given: x ∝ z , y ∝ z

It can be written as,

x = k y, y = m z

where k, m are constant of variations.

Put the value of y in x,

We get,

x = k m z

⇒ x ∝ z

Multiply both sides by y.

We get,

xy ∝ yz

Hence, given statement is not true.