A man starts his trip from the origin of the Cartesian plane. He goes 5 units east, 3 units north and then 10 units west. Find his present location on the Cartesian plane. In which quadrant does the location of the man lie?
A man starts his trip from the origin of the Cartesian plane. He goes 5 units east, 3 units north and then 10 units west. Find his present location on the Cartesian plane. In which quadrant does the location of the man lie?
The correct option is A (-5,3); Second quadrant
The man starts his trip from origin i.e. (0,0) and then he goes 5 units towards east which means towards the right side of origin on the x-axis, so his location would be (5,0). He then goes 3 units north i.e. above the origin parallel to the y-axis and at this time his coordinates will become (5,3). After that he moves 10 units west which means he would cross 5 units in the positive side of x axis and then for the remaining 5 units he will enter the negative side. Therefore, his coordinates become (-5, 3). Therefore, this point will lie in the II quadrant.
(-5,3); Second quadrant
The man starts his trip from origin i.e. (0,0) and then he goes 5 units towards east which means towards the right side of origin on the x-axis, so his location would be (5,0). He then goes 3 units north i.e. above the origin parallel to the y-axis and at this time his coordinates will become (5,3). After that he moves 10 units west which means he would cross 5 units in the positive side of x axis and then for the remaining 5 units he will enter the negative side. Therefore, his coordinates become (-5, 3). Therefore, this point will lie in the II quadrant.
