Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If <img alt="\frac{b+c-a}{a},\frac{c+a-b}{b},\frac{a+b-c}{c}" src="/latex-image/?%5Cfrac%7Bb&plus;c-a%7D%7Ba%7D%2C%5Cfrac%7Bc&plus;a-b%7D%7Bb%7D%2C%5Cfrac%7Ba&plus;b-c%7D%7Bc%7D" /

If \frac{b+c-a}{a},\frac{c+a-b}{b},\frac{a+b-c}{c} are in A.P then which of the following are also in A.P?


 

 

 

Option: 1

a^2,b^2,c^2


Option: 2

\frac{1}{a},\frac{1}{b},\frac{1}{c}


Option: 3

2a,2b,2c


Option: 4

None of these


Answers (1)

best_answer

\frac{b+c-a}{a},\frac{c+a-b}{b},\frac{a+b-c}{c} are in A.P

So, \frac{b+c-a}{a}+2,\frac{c+a-b}{b}+2,\frac{a+b-c}{c}+2 are in A.P

So, \frac{b+c+a}{a},\frac{c+a+b}{b},\frac{a+b+c}{c}   are in A.P

Dividing each term by (a+b+c) will give a new AP

So, \frac{1}{a},\frac{1}{b},\frac{1}{c} is an A.P.

So (b) is correct.

Posted by

vinayak

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Latest Question