If x- y- z are positive real number and a- b- c are rational numbers- then the value of 1-1-xb-a-xc-a-1-1-xa-b-xc-b-1-1-xb-c-xa-c is

The correct option is B 1 1/1+x^b a+x^c a=x^a/x^a+x^b+x^c etc. ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Properties of Iota

If x, y, z ...

Question

If $x, y, z$ are positive real number and $a, b, c$ are rational numbers, then the value of $\frac{1}{1 + x^{b - a} + x^{c - a}} + \frac{1}{1 + x^{a - b} + x^{c - b}} + \frac{1}{1 + x^{b - c} + x^{a - c}}$ is

- 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

x, y, z

a, b, c

\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}}

x, y, z

a, b, c

\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}}

{[\frac{x^{a}}{x^{b}}]}^{a + b - c} {[\frac{x^{b}}{x^{c}}]}^{b + c - a} {[\frac{x^{c}}{x^{a}}]}^{c + a - b} = 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)}} = ?

\frac{1}{1 + x^{b - a} + x^{c - a}} + \frac{1}{1 + x^{a - b} + x^{c - b}} + \frac{1}{1 + x^{a - c} + x^{b - c}}

Join BYJU'S Learning Program