ExamBro
ExamBro
MHT CET · Maths · Area Under Curves

The area of the region bounded by the parabola \(y^2=27 x\) and the line \(x=1\) is ______ sq.units.

  1. A \(2 \sqrt{3}\)
  2. B \(3 \sqrt{3}\)
  3. C \(4 \sqrt{3}\)
  4. D \(7 \sqrt{3}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 \sqrt{3}\)

Step-by-step Solution

Detailed explanation

Area \(A = 2 \int_{0}^{1} \sqrt{27x} \, dx\) \(A = 2 \int_{0}^{1} 3\sqrt{3}x^{1/2} \, dx\)