During Kumbh Mela 2025, a parabolic arch is constructed at the entrance, modelled by y =…
Mathematics · Class 12 · CBSE — Application of the Integrals
During Kumbh Mela 2025, a parabolic arch is constructed at the entrance, modelled by \(y = \dfrac{x^2}{4}\), \(-6 \le x \le 6\).
The organisers want to know the area enclosed between the arch and the ground (\(x\)-axis), as this represents the fabric required to cover the arch. Area of arch is:
- \(63\) sq. units
- \(72\) sq. units
- \(36\) sq. units
- \(18\) sq. units
Answer
(C) 36 sq. units
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