If \frac{3-5 x}{2 x}+ \frac{3-5 y}{2 y}+ \frac{3-5 z}{2 z}=0 the value of \frac{2}{x}+ \frac{2}{y}+ \frac{2}{z}is

SSC CGL Tier II 12 Apr 2015 Paper

Question : 20 of 100

Marks: +1, -0

{3-5 x}/{2 x}+ {3-5 y}/{2 y}+ {3-5 z}/{2 z}=0

the value of

{2}/{x}+ {2}/{y}+ {2}/{z}

Solution:

(3)

{3-5 x}/{2 x}+ {3-5 y}/{2 y}+ {3-5 z}/{2 z}=0

⇒{3}/{2 x}- {5 x}/{2 x}+ {3}/{2 y}- {5 y}/{2 y}+

{3}/{2 z}- {5 z}/{2 z}=0

⇒{3}/{2 x}+ {3}/{2 y}+ {3}/{2 z}- {5}/{2}- {5}/{2}- {5}/{2}=0

⇒{3}/{2 x}+ {3}/{2 y}+ {3}/{2 z}= {3 × 5}/{2}

\⇒{1}/{2 x}+ {1}/{2 y}+ {1}/{2 z}= {5}/{2}

⇒{4}/{2 x}+ {4}/{2 y}+ {4}/{2 z}= {4 × 5}/{2}

⇒{2}/{x}+ {2}/{y}+ {2}/{z}=10

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