25 verified questions · ~38 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 domain of the function f(x) = logₑ((2x − 3)/(5 + 4x)) + sin⁻¹((4 + 3x)/(2 − x)) is [α, β), then α² + 4β is equal to
Let a₁, a₂, a₃, … be a G.P. of increasing positive numbers. If a₃a₅ = 729 and a₂ + a₄ = 111/4, then 24(a₁ + a₂ + a₃) is equal to
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