SSC CHSL Model Paper 20

Question : 71 of 100

Marks: +1, -0

What will be the value of

1/{1+x^{b-c}+x^{c-a}}+1/{1+x^{ c-b}+x^{ a-b}}

+1/{1+x^{a-c}+x^{b-c } } \ ?

Solution:

1/{1+x^{b-c}+x^{c-a}}+1/{1+x^{ c-b}+x^{ a-b}}

+1/{1+x^{a-c}+x^{b-c } }

x^a/{x^a+x^b+x^c}+ x^b/{x^b+x^c+x^a}

+x^c/{x^c+x^a+x^b}

={x^a+x^b+x^c}/{x^a+x^b+x^c}=1

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