yz:zx:xy = 1 : 2 : 3 \Rightarrow \frac{x}{yz} : \frac{y}{zx} =

AP ICET 2019 Shift 1 Paper

Question : 79 of 200

Marks: +1, -0

yz:zx:xy = 1 : 2 : 3 ⇒ {x}/{yz} : {y}/{zx} =

Solution:

y z: z x: x y=1: 2: 3

y z=k ; z x=2 k ; x y=3k;

x^{2} y^{2} z^{2}=6 k^{3} ⇒ x=√{(6 k)}

y=√{(6 k)}÷2

and

z=√{(6 k)}÷3

(\;{x}/{y z}):(\;{y}/{z x})=4: 1

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