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### Discussion :: Surds and Indices

1. $$\frac { 1 } {1+X(b-a)+X(c-a) }$$+$$\frac { 1 } { 1+X(a-b)+X(c-b) }+$$$$\frac { 1 } {1+X(b-c)+X(a-c)}=?$$

2.  A. 0 B. 1 C. xa - b - c D. None of these

Given Exp $$= \frac {1} { (1+ \frac { x^b } { x^a } + \frac { x^c } { x^a }) } + \frac {1} { (1+ \frac { x^a } { x^b } + \frac { x^c } { x^b }) } +\frac {1} { (1+ \frac { x^b } { x^c } + \frac { x^a } { x^c }) }$$
=$$\frac { X^a } {(X^a+X^b+X^c) }+$$$$\frac { X^b } {(X^a+X^b+X^c) }+$$$$\frac { X^c } {(X^a+X^b+X^c) }$$
=$$\frac { (X^a+X^b+X^c)} {€‹€‹(X^a+X^b+X^c )}$$