24 verified questions · ~36 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).
Let f : ℝ → ℝ be a function defined by f(x) = ||x + 2| − 2|x||. If m is the number of points of local minima and n is the number of points of local maxima of f, then m + n is
Each of the angles β and γ that a given line makes with the positive y- and z-axes, respectively, is half of the angle that this line makes with the positive x-axis. Then the sum of all possible values of the angle β is
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