√(x-1y)× √(y-1z)×√(z-1x)এর সরল মান কত?

B 1

C xyz

D ±1

Solution

Correct Answer: Option B

√(x-1y).√(y-1z).√(z-1x)
=√(1/x.y)√(1/y.z)√(1/z.x)
=√(y/x).√(z/y).√(x/z)
=√{(y/z).(z/y).(x/z)}=√1=1

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