Question

1
13. If x^1/a= x^1/b = x^1/c and x y z = 1, then the value of a + b + c is equal to.
a) o
b) 1
c)-1
d) 2​

Answer 1

Answer:

We have,

a

x−1

=bc

a

a

x

=abc

a

x

=abc

a=(abc)

1/x

…(1)

Similarly,

b=(abc)

1/y

…(2)

c=(abc)

1/z

…(3)

Multiply (1),(2),(3)

abc=(abc)

1/x

.(abc)

1/y

.(abc)

1/z

abc=(abc)

1/x+1/y+1/z

∴

x

1

+

y

1

+

z

1

=1

xyz

xy+yz+zx

=1

xy+yz+zx=xyz

xy+yz+zx−xyz=0

Hence, this is the answer.

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