"The SIT will answer it as early as possible," he said, when asked whether the police have picked up the right person in the case.
The SIT, probing the murder of the journalist-activist on September 5 last year, had recently taken Kumar into custody.
His family has said he was innocent and in no way connected to the case.
Reddy said the SIT has been pursuing its investigation and the government does not want to interfere in it.
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The state government, which constituted the SIT headed by Inspector General of Police (Intelligence) B K Singh, has announced Rs 10 lakh reward for anyone giving clues about the perpetrators of the crime.
The Lankesh family pleaded against giving a political colour to the case.
It has said the investigators should look into all angles, as reports had emerged about a possible Naxal hand in the crime other than the suspected involvement of right-wing extremists.
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