Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

The area of the region bounded by the lines x + 2y = 12, x = 2, x = 6 and x-axis is:

Options:

34 sq units

20 sq units

24 sq units

16 sq units

Correct Answer:

16 sq units

Explanation:

The correct answer is Option (4) - 16 sq units

$x + 2y = 12, x = 2, x = 6$

area = $\int\limits_2^66-\frac{x}{2}dx$

$=\left[6x-\frac{x^2}{4}\right]_2^6$

$24-\frac{32}{4}=16$ sq. units