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).
The area of the region, inside the circle (x − 2√3)² + y² = 12 and outside the parabola y² = 2√3 x, is :
Let the foci of a hyperbola be (1, 14) and (1, −12). If it passes through the point (1, 6), then the length of its latus-rectum is :
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