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).
If ∫₀¹ 1/(√(3+x) + √(1+x)) dx = a + b√2 + c√3, where a, b, c are rational numbers, then 2a + 3b − 4c is equal to:
If S = {z ∈ ℂ : |z − i| = |z + i| = |z − 1|}, then n(S) is:
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