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Mathematics

If x : y = y : z, then x2 : y2 is :

  1. 1 : x

  2. x : y

  3. x : z

  4. z : x

Ratio Proportion

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Answer

Given,

⇒ x : y = y : z

xy=yzy2=xz.\Rightarrow \dfrac{x}{y} = \dfrac{y}{z} \\[1em] \Rightarrow y^2 = xz.

Substituting value of y2 in x2 : y2, we get :

⇒ x2 : xz

⇒ x : z.

Hence, Option 3 is the correct option.

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