29 verified questions · ~44 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(x) = { -2, for -2 ≤ x ≤ 0 ; x - 2, for 0 < x ≤ 2 } and h(x) = f(|x|) + |f(x)|. Then ∫₋₂² h(x) dx is equal to:
One of the points of intersection of the curves y = 1 + 3x - 2x² and y = 1/x is (1/2, 2). Let the area of the region enclosed by these curves be (1/24)(l√5 + m) - n log_e(1 + √5), where l, m, n ∈ N. Then l + m + n is equal to
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