BITSAT 2018 Slot 2 Solved Paper

Taking the coordinates of vertices O,P,Q,R as (0,0),(a,0),(a,a),(0,a), respectively.
∴ The coordinates of M is (a,

a

2

) and N is (

a

2

,a).
∴ Area of ΔOMN=

1

2

|

0	0	1
a	a∕2	1
a∕2	a	1

|=

3a2

8

and area of the square =a2
∴ The required ratio is 8:3.
Hence, option (c) is correct.