Manchester GP Dr Kailash Chand proposed a motion that would have supported changing the law to 'allow the choice' of an assisted death.
The motion also would have backed changing the law, to ensure that those who accompanied their relatives to an assisted death clinic, but did not actively participate, could not be prosecuted.
'We are talking about choice,' he said.
But Baroness Ilora Finlay, a professor of palliative medicine and chair of the All Party Parliamentary Group on Dying Well, said that current laws have a 'kind heart and a hard head'.
'Not all assisted suicides are the termination of a life-long, loving relationship,' she said.
Conference voted narrowly against protecting relatives from prosecution, and decisively against the right to die.
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