Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

Find the area bounded by the parabolas y2 = 5x + 6 and x2 = y.

Options:

23/8

16/19

81/15

10/17

Correct Answer:

81/15

Explanation:

To get A & B solve y2 = 5x + 6 & x2 = y

⇒ A ≡ (–1, 1) & B ≡ (2, 4)

Required Area = Shaded Area

$=\int\limits_{-1}^2(\sqrt{5x+6}-x^2)dx=\frac{81}{15}=\frac{27}{5}$