The area of the region bounded by the curve (x = 2y + 3 ) and the (y ) lines. (y = 1 ) and (y = - 1 ) is 4 sq units ( 2 ) sq units 6 sq units 8 sq units Correct Option (c)

Application of Integrals — Class 12 Maths Solution

exemplar la LA NCERT Exemp. Ex. 1.3, Q. 34, Page 178

Question

The area of the region bounded by the curve $x = 2y + 3$ and the $y$ lines. $y = 1$ and $y = - 1$ is

• 4 sq units

• $\frac{3}{2}$ sq units

• 6 sq units

• 8 sq units

Correct Option (c)

Step-by-step Solution

The area of the region bounded by the curve $x = 2y + 3$ and the y lines $y = 1$ and $y =$ -1 is

From the figure, are of the shaded region,
$A = \int_{ - 1}^1 {(2y + 3)} dy = \left[ {{y^2} + 3y} \right]_{ - 1}^1 = [1 + 3 - 1 + 3] = 6$ sq. units.

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Application of Integrals. Curated by Sachin Sharma. Free for all students.