If {b-c}/a+{a+c}/b+{a-b}/c=1 and a-b+c\neq0 Then which the following relation is true?

SSC CGL Model Paper 9

Question : 54 of 100

Marks: +1, -0

{b-c}/a+{a+c}/b+{a-b}/c=1

and

a-b+c≠0

Then which the following relation is true?

Solution:

{b-c}/a+{a+c}/b+{a-b}/c=1

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

=1-1-1+1

{b - c - a} /a+{a + c - b }/b+{ a - b + c}/c=0

-{a + c - b}/a+ {a + c - b} /b+{a + c - b }/c=0

[a + c - b][1/b+1/c-1/a]=0

1/a= 1/b+1/c

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