Home PDF Store Exams G.K. Aptitude Reasoning English Computer Biology Privacy About Contact

$\frac{1}{1 + x^{(b - a)} + x^{(c - a)}} + \frac{1}{1 + x^{(a - b)} + x^{(c - b)}} + \frac{1}{1 + x^{(b - c)} + x^{(a - c)}} = ?$

A. 0

B. 1

C. $x^{a - b - c}$

D. None of these

Correct Answer :

B. 1

Given Exp. =

\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 + \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})} = 1

Share this question with your friends

Show all Surds and Indices MCQ

Comment

Related Questions

(256)0.16 × (256)0.09 = ? xbxc (b + c - a) . xcxa (c + a - b)… (25)7.5 × (5)2.5 ÷ (125)1.5 = 5? The value of [(10)150 ÷ (10)146] 11 + x(b - a) + x(c - a) … If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is: 11 + a(n - m) + 11 + a(m - n)… 243)n5 × 32n + 1 9n × 3n − 1… If x = 3 + 22, then the value of… (0.04)-1.5 = ?

Also checkout

Electricity Fundamentals MCQ Current Affairs January 2023 MCQ Stocks and Shares MCQ Urology Basic Science MCQ Gravitation MCQ Series MCQ Thermo Electricity MCQ Phylum - Amphibia MCQ Nuclear Physics MCQ Selenium automation MCQ Cloze Test MCQ Engineering Mechanics MCQ