Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

$\mathrm{m}, \mathrm{n}$ are integer with $0<\mathrm{n}<\mathrm{m}$ . A is the point $(\mathrm{m}, \mathrm{n})$ on the cartesian plane. $\mathrm{B}$ is the reflection of Ain the line $\mathrm{y=x}$ . C is the reflection of $\mathrm{B}$ in the $\mathrm{y}$ -axis, $\mathrm{D}$ is the reflection of $\mathrm{C}$ in the $\mathrm{x}$ -axis and $\mathrm{E}$ is the reflection of $\mathrm{D}$ in the $\mathrm{y}$ -axis. The area of the pentagon $\mathrm{ABCDE}$ is
Option: 1
$2 \mathrm{~m}(\mathrm{~m}+\mathrm{n})$

Option: 2
$\mathrm{m(m+3 n)}$

Option: 3
$\mathrm{m(2 m+3 n)}$

Option: 4
$2 \mathrm{~m}(\mathrm{~m}+3 \mathrm{n})$

Answers (1)

best_answer

Area of rectangle $\mathrm{BCDE}=4 \mathrm{mn}$

$\text { Area of } \triangle \mathrm{ABC}=\frac{2 \mathrm{~m}(\mathrm{~m}-\mathrm{n})}{2}$
$=\mathrm{m}^{2}-\mathrm{mn}$

$\therefore \quad \text { area of pentagon } =4 \mathrm{mn}+\mathrm{m}^{2}-\mathrm{mn}$
$=\mathrm{m}^{2}+3 \mathrm{mn}$

Posted by

Info Expert 30

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl. If pK_b of ammonia solution is 4.75, the pH of the mixture will be :
Option: 1 3.75
Option: 2 4.75

Trending Articles/News

anam-khan

JCECEB 2025 registration for BTech admission through JEE Main rank begins jceceb.jharkhand.gov.in

anam-khan

JEE Main 2025: BTech CSE cut-offs for PwD candidates at NITs make entry easy; top institutes still selective

anam-khan

73 or 99 percentile? JEE Main result questioned, J-K candidate says, ‘Don’t create hype’

Latest Question