Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Sequence and Series
0 votes

If a, b and c are in H.P, then a/(b+c), b/(c+a), c/(a+b) are in


Can you answer this question?

1 Answer

0 votes
Answer : (b) HP
Explanation : Given that a,b,c are in HP
Therefore 1/a,1/b,1/c are in AP
Multiplying by (a+b+c),
(a+b+c)/a(a+b+c)/b,(a+b+c)/c are in AP
Reducing further
1+(b+c)/a,1+(a+c)/b,1+(a+b)/c are in AP
Minus 1 from each term,
(b+c)/a,(a+c)/b,(a+b)/c are in AP
Therefore, the reciprocals are in HP
a/(b+c),b/(a+c),c/(a+b) are in HP.
answered Jan 17, 2014 by yamini.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App