The correct answer is Option 3 - V.K. Krishna Menon. During the India-China war in 1962, V.K. Krishna Menon resigned as the Defence Minister. It is important to understand the context of this event to fully comprehend the significance of Menon`s resignation.

The India-China war in 1962 was a conflict between India and China over disputed territories in the Himalayan region. It was a major military defeat for India, as Chinese forces successfully infiltrated Indian territory and inflicted heavy casualties.

V.K. Krishna Menon, who held the position of Defence Minister, faced severe criticism for his handling of the situation and the unpreparedness of India`s armed forces. There were allegations of mismanagement and inadequate military support provided to the soldiers defending the borders. The public outcry and pressure from political opponents eventually led to Menon`s resignation.

It is crucial to note that the resignation of Menon does not signify guilt or blame in the war, but rather reflects the political consequences of public sentiment and the desire for accountability.