SSC CGL Tier II 21 Sep 2014 Paper

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Question : 23 of 100

Marks: +1, -0

The value of

{1}/{a^{2}+a x+x^{2}}- {1}/{a^{2}-a x+x^{2}}

+ {2 a x}/{a^{4}+a^{2} x^{2}+x^{4}}

is

2
1
–1
0

Solution:

(4)

{1}/{a^{2}+a x+x^{2}}- {1}/{a^{2}-a x+x^{2}}

+ {2 a x}/{a^{4}+a^{2} x^{2}+x^{4}}

= {a^{2}-a x+x^{2}-a^{2}-a x-x^{2}}/{ (a^{2}+a x+x^{2} ) (a^{2}-a x+x^{2} )}

+ {2 a x}/{a^{4}+a^{2} x^{2}+x^{4}}

= {-2 a x}/{a^{4}+a^{2} x^{2}+x^{4}}

+ {2 a x}/{a^{4}+a^{2} x^{2}+x^{4}}=0

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