GATE Civil Engineering (CE) 2018 Shift 2 Solved Paper

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Question : 7 of 65

Marks: +1, -0

Given that

\;{\log P}/{y-z}=\;{\log Q}/{z-x}=\;{\log R}/{x-y}=10

for

x ≠ y ≠ z

, what is the value of the product

P Q R ?

0
1
$x y z$
$10^{x γ z}$

Solution:

\log P \;\; =10(y-z)

\log Q \;\; =10(z-x)

\log R \;\; =10(x-y)

\log P+\log Q+\log R \;\; =0

\log (P Q R) \;\; =\log 1

P Q R \;\; =1

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