Question
The area of the region ( x , y ) : 0 ≤ x ≤ 9 4 ,    0 ≤ y ≤ 1 ,    x ≥ 3 y ,    x + y ≥ 2 is
JEE Advanced
Mathematics
Area Under Curves
2021
JEE Advanced 2021 (Paper 1)
JEE Advanced Mathematics Question (2021) — Solution
Options
- A. 11 32
- B. 35 96
- C. 37 96
- D. 13 32
Answer
A. 11 32
Step-by-step solution
The region is a quadrilateral A B C D Now, area of the quadrilateral A B C D = area of triangle A B D + area of the triangle B C D So, area = 1 2 3 2 1 2 1 2 0 1 9 4 3 4 1 + 1 2 × 9 4 - 2 × 3 4 = 1 2 - 2 1 2 - 3 4 - 9 8 - 9 8 + 1 2 × 1 4 × 3 4 = 1 4 + 3 32 = 11 32
Related: Mathematics — Area Under Curves · All PYQ Banks