30 verified questions · ~45 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).
The area (in sq. units) of the region S = {z ∈ ℂ : |z − 1| ≤ 2 ; (z + z̄) + i(z − z̄) ≤ 2, Im(z) ≥ 0} is
The value of (1 × 2² + 2 × 3² + … + 100 × (101)²) / (1² × 2 + 2² × 3 + … + 100² × 101) is
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