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).
lim_(x→0) (e − (1 + 2x)^(1/(2x))) / x is equal to
Consider the line L passing through the points (1, 2, 3) and (2, 3, 5). The distance of the point (11/3, 11/3, 19/3) from the line L along the line (3x − 11)/2 = (3y − 11)/1 = (3z − 19)/2 is equal to
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