CUET · MATHS · PYQ PAPER 2023
The area bounded by \(y^2=x, y=5\) and the \(y\)-axis is:
- A 25 sq units
- B \(\frac{125}{2}\) sq units
- C \(\frac{125}{3}\) sq units
- D 75 sq units
Answer & Solution
Correct Answer
(C) \(\frac{125}{3}\) sq units
Step-by-step Solution
Detailed explanation
Area \(A = \int_{0}^{5} x \, dy\) \(A = \int_{0}^{5} y^2 \, dy\) \(A = \left[ \frac{y^3}{3} \right]_{0}^{5}\) \(A = \frac{5^3}{3} - \frac{0^3}{3}\) \(A = \frac{125}{3}\)
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