CUET · MATHS · PYQ PAPER 2023
The area of the region bounded by the parabola \(y^2=8 x\) and the line \(x=2\) is:
- A \(\frac{16}{3}\) sq. units
- B \(\frac{32}{3}\) sq. units
- C \(\frac{8}{3}\) sq. units
- D \(\frac{11}{3}\) sq. units
Answer & Solution
Correct Answer
(B) \(\frac{32}{3}\) sq. units
Step-by-step Solution
Detailed explanation
\(A = \int_{0}^{2} (\sqrt{8x} - (-\sqrt{8x})) dx\) \(A = 2 \int_{0}^{2} \sqrt{8x} dx\) \(A = 2 \int_{0}^{2} 2\sqrt{2}x^{1/2} dx\) \(A = 4\sqrt{2} \left[ \frac{2}{3}x^{3/2} \right]_{0}^{2}\) \(A = 4\sqrt{2} \left( \frac{2}{3}(2^{3/2}) - 0 \right)\)…
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