QJEEM25Maeb5c: JEE Main 2025 Mathematics - Class 12 JEEM25Maeb5c Solution: Let the area of the region be . Then is equal to :

Question

Verified Solution • 2025–26 Session moderate

QJEEM25Maeb5c: JEE Main 2025 Mathematics - Class 12 JEEM25Maeb5c Solution: Let the area of the region be . Then is equal to :

Let the area of the region

$(x, y) : 2y \leq x^2 + 3,\ y + |x| \leq 3, \ y \geq |x - 1|$ be $A$ . Then $6A$ is equal to :

Multiple Choice Options

A 14
B 18
C 16
D 12

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank

Browse year-wise authentic previous years' questions with solutions

Authentic CBT Mock Tests

Simulate official exam environment with live timer and percentile scoring

Accepted Answer

JEE Main 2025 (Online) 29th January Morning Shift Mathematics - Area Under The Curves Question 9 English Explanation

$A \Rightarrow$ Rectangle ABDE $-$ Area of region EDC

$\begin{aligned} A \Rightarrow 4 - 2 \int_{0}^{1} (3 - x) - (\frac{x^{2} + 3}{2}) d x \\ A \Rightarrow 4 - 2 {3 x - \frac{x^{2}}{2} - \frac{x^{3}}{6} - \frac{3}{2} x}_{0}^{1} \\ A \Rightarrow 4 - 2 {3 - \frac{1}{2} - \frac{1}{6} - \frac{3}{2}} = \frac{7}{3} \end{aligned}$

So $6 \mathrm{~A}=14$

QJEEM25Maeb5c: JEE Main 2025 Mathematics - Class 12 JEEM25Maeb5c Solution: Let the area of the region be . Then is equal to :

Multiple Choice Options

Step-by-Step Verified Solution

Related Learning Resources & Exam Preparation