CUET · MATHS · PYQ PAPER 2023
The area of region bounded by the curve \(y = x^2\) and the line \(y = 4\) is:
- A \(\frac{3}{32}\) sq.unit
- B \(\frac{31}{3}\) sq.unit
- C \(\frac{32}{3}\) sq.unit
- D \(\frac{3}{31}\) sq.unit
Answer & Solution
Correct Answer
(C) \(\frac{32}{3}\) sq.unit
Step-by-step Solution
Detailed explanation
Intersection points: \(x^2 = 4 \Rightarrow x = \pm 2\) Area \(A = \int_{-2}^{2} (4 - x^2) dx\) \(A = \left[4x - \frac{x^3}{3}\right]_{-2}^{2}\)…
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