Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

if 1/a+b, 1/c+a, 1/a+d are in ap prove that a^2, b^2, c^2 are also in ap  
Asked by sajal2402 | 21 Jan, 2019, 09:10: PM
answered-by-expert Expert Answer
The question is posted wrongly. The correct question is given below
 
if 1/(b+c), 1/(c+a) and 1/(a+b) are in A.P., then prove that a2 , b2 and c2 are also in A.P
-----------------------
 
let us solve the correct one.
 
if 1/(b+c), 1/(c+a) and 1/(a+b) are in A.P., then difference between 2nd term and first term is equal to
difference between 3rd term and 2nd term.
 
hence
begin mathsize 12px style fraction numerator 1 over denominator open parentheses c plus a close parentheses end fraction space minus space fraction numerator 1 over denominator open parentheses b plus c close parentheses end fraction space equals space fraction numerator 1 over denominator open parentheses a plus b close parentheses end fraction minus fraction numerator 1 over denominator open parentheses c plus a close parentheses end fraction

fraction numerator b plus c minus c minus a over denominator open parentheses c plus a close parentheses begin display style open parentheses b plus c close parentheses end style end fraction space equals space fraction numerator c plus a minus a minus b over denominator open parentheses a plus b close parentheses begin display style open parentheses c plus a close parentheses end style end fraction space space space space o r space space space space fraction numerator open parentheses b minus a close parentheses over denominator open parentheses c plus a close parentheses begin display style open parentheses b plus c close parentheses end style end fraction space equals space fraction numerator c minus b over denominator open parentheses a plus b close parentheses begin display style open parentheses c plus a close parentheses end style end fraction

fraction numerator open parentheses b minus a close parentheses over denominator open parentheses b plus c close parentheses end fraction space equals space fraction numerator open parentheses c minus b close parentheses over denominator open parentheses a plus b close parentheses end fraction space space o r space space space space b squared space minus space a squared space equals space c squared space minus space b squared space space space space space o r space space space space space 2 b squared space equals space a squared space plus space c squared

h e n c e space a squared comma space b squared space a n d space c squared space a r e space i n space A. P end style
Answered by Thiyagarajan K | 22 Jan, 2019, 10:35: AM
CBSE 10 - Maths
Asked by rrajansinghakb199 | 08 Apr, 2024, 05:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by nagalaxmidurgarao937 | 08 Apr, 2024, 01:42: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sonawnerohan01 | 23 Mar, 2024, 12:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by choudharyniki001 | 22 Mar, 2024, 08:49: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vn3950372 | 18 Mar, 2024, 08:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×