Pallavi leaves her house and walks 8 m south, turns left and walks 6 m, then turns left again and walks 14 m. In which direction is she now from her house?

Take the house as (0, 0). 8 m south → (0, −8). Turning left from south means facing east: 6 m → (6, −8). Turning left again means facing north: 14 m → (6, 6). She is 6 m east and 6 m north, i.e. North-East of the house.