Study the following information and answer the questions given below:
Point B is to the north of point A at a distance of 4m. Point D is to east of point A. Point D is to the west of E. Point C is to the south of A. Point F is to the west of point D. The total distance between F and D is 6m and distance between A and E is 8m. Point B is to north-east of point F. Point C is to the south-west of point E. The shortest distance between F and C is 5m. Point G is 3m to the east of Point B. Point H is 2m north of point F.
If the shortest distance between H and A is `sqrt(13)` m then find point G is how far and in which direction from point D?

Options

A. 5m, south
B. 3m, south-east
C. 4m north
D. 5m, west

Answer

C

Explanation

`(AF)^(2) = (HA)^(2) - (HF)^(2) = 13-4 = 9`
`AF = 3m`
Now , AD = FD - AF=6-3 =3m
So, G is in north and 4m away from H.