The area of the region bounded by the curves y=|x-1| and y=3-|x| is

Question

The area of the region bounded by the curves y=|x-1| and y=3-|x| is (A) 2 (B) 3 (C) 4 (D) 1

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/89d0f9608f7d6a628c69ab7d7db2d0d4-.png" /> A B=√2, B C=2 √2 Area of rectangle A B C D =√2 × 2 √2=4

Q. The area of the region bounded by the curves $y = ∣ x - 1∣$ and $y = 3 - ∣ x ∣$ is

2

3

4

1

$A B = 2, BC = 22$
Area of rectangle $A BC D$
$= 2 \times 22 = 4$

Q. The area of the region bounded by the curves y=∣x−1∣ and y=3−∣x∣ is

2

3

4

1

AB=2​,BC=22​ Area of rectangle ABCD =2​×22​=4

Q. The area of the region bounded by the curves $y = ∣ x - 1∣$ and $y = 3 - ∣ x ∣$ is

$A B = 2, BC = 22$
Area of rectangle $A BC D$
$= 2 \times 22 = 4$