Question

(i) Draw the graphs of 2x + y = 6 and y = 2x + 2 intersecting X
and Y axes in the points A, B and C, D respectively. The point
of intersection is E. Find the area of (a) A AEC (b) A EDB.​

Answer 1

Drawn  the graphs of 2x + y = 6 and y = 2x + 2

Area of AEC = 8 sq units , Area of EDB. = 2 sq units

Step-by-step explanation:

x 2x+y=6 y = 2x+2

-2 10 -2

-1 8 0

0 6 2

1 4 4

2 2 6

3 0 8

4 -2 10

A (3, 0)

B (0 , 6)

C  (-1 , 0)

D  (0 , 2)

E  ( 1, 4)

AEC

A (3, 0)  , E  ( 1, 4) , C  (-1 , 0)

Area of AEC

= (1/2) |  3(4 - 0)  + 1(0 - 0) - 1(0 - 4) |

= (1/2) | 12 + 0 + 4|

= 16/2

= 8  sq units

EDB.​

E  ( 1, 4) D  (0 , 2) B (0 , 6)

Area of EDB.

= (1/2) |  1 (2 - 6)  + 0(6 - 4)  + 0(4 - 2)|

= (1/2) | - 4|

= 2 sq units

Learn more:

Draw the graph of the equation 3x+4y=18. With the help of the graph ...

https://brainly.in/question/7413349

draw the graph of linear equation X + Y equal to 7 at what point does ...

https://brainly.in/question/8638839