MHT CET 2017 Math Solved Paper

(d) For line y = 2x + 1,
two points are (0,1) and (4,9)
For line y = 3 x + 1,
two points are (0,1) and (4,13)

Hence, area of shaded region
=

1

2

|

x1	y1	1
x2	y2	1
x3	y3	1

| =

1

2

|

0	1	1
4	9	1
4	13	1

|
=

1

2

[0- 0 + 4 (13 - 9)] = 8 sq units