Question 8

If $$u : v = v : w$$, then what is the value of $$u^4 : v^4$$ ?

Solution

Given = $$u:v=v:w$$

=> $$v^2=uw$$ --------------(i)

To find = $$u^4 : v^4$$

Substituting value from equation (i), we get :

= $$u^4 : (uw)^2$$

= $$u^2:w^2$$

=> Ans - (B)


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