If the sum of squares of two numbers is 97, then which one of the following cannot be their product?
Explanation:
Given: a2 + b2 = 97.
AM ≥ GM
⇒ a2+b22 ≥ a2×b2
⇒ 48.5 ≥ |a × b|
⇒ 48.5 ≥ a × b ≥ -48.5
Out of the given options, 64 definitely lies outside this range.
Hence, option (d).
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