if ax^2+2bx+c=0 and a1x^2+b1x+c1=0 have a common root and a/a1, b/b1 and c/c1 are in AP. show that a1, b1 and c1 are GP

							
Dear student,
Make use of AP:
Since a/a1,b/b1,c/c1 are in AP
Hence 2b/b1=a/a1+c/c1
Now make use of common root property






















































Please feel free to ask your queries here. We are all IITians and here to help you in your IIT JEE preparation.
All the best.
Win exciting gifts by                                                                                                                                                                                                                                answering             the                               questions              on                                            Discussion                                          Forum.         So                             help                                                 discuss                                any                                                   query             on                                               askiitians                        forum         and                                      become         an                             Elite                                                  Expert                           League                                                              askiitian.
Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..
 
Askiitians Expert
Sagar Singh
B.Tech, IIT Delhi