29 verified questions · ~44 minutes · answer key checked against the official NTA final key across multiple sources. Text-only questions (diagram-based excluded until they can be shown properly).
If the function f(x) = (1/x)^(2x) ; x > 0 attains the maximum value at x = 1/e, then :
If z₁, z₂ are two distinct complex numbers such that |(z₁ − 2z₂) / ((1/2) − z₁ z̄₂)| = 2, then
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