Tigress Avni, who is believed to be responsible for the deaths of 13 people in the past two years, was killed in Maharashtra's Yavatmal on Friday as part of an operation.
Khan said shooting an animal in self-defence was not an offence according to section 11(2) of the Wildlife Protection Act.
An official statement issued by the forest department stated that the committee has been formed on directions of Forest Minister Sudhir Mungantiwar to conduct an 'in-depth' inquiry into the death of the tigress.
The five-year-old tigress, known officially as T1, was the focus of a hunt for over past two months.
A bench of Chief Justice Bobde and Justices AS Bopanna and V Ramasubramanian, which had earlier issued notice for initiating contempt action Maharashtra principal secretary Vikas Kharge and eight others, permitted the animal rights activist Sangeeta Dogra to withdraw her plea.
The tigress, officially known as T1, was shot dead in an operation in a forest in Yavatmal district on November 2, leading to outrage among animal lovers and wildlife organisations who accused the state government of violating norms.
Reacting to Maneka Gandhi's criticism, the Maharashtra CM said that her word were harsh but he unerstands her feelings as she is also an animal lover.
The committee said there was no operational coordination among veterinary professionals and the team which killed the tigress on November 2 in Yavatmal and that the dart for tranquillising the feline was fired unauthorisedly.
Fadnavis said preliminary reports made available to him stated that the tigress was shot after she attacked the forest staff trying to tranquilise her.
'Animal populations are increasing. Human populations are increasing. So there is no way the man-animal conflict going to go away.'