Question

An ant moves 3 units along the positive direction of the X-axis from the origin and reaches a point P, then moves 4 units from P along the negative direction of the Y-axis and reaches a point Q.
(i) What are the coordinates of points P and Q?
(ii) Also, find the distance between the point P and Q.

[4 Marks]

Answer 1

(i)
Since, the ant is moving 3 units along the positive direction of x-axis from the origin, the coordinate of point P is (3, 0) and then ant moves 4 units along the negative direction of y-axis the coordinates of point Q is (3, -4).

Answer: Coordinate of P : (3, 0), Coordinate of Q : (3, -4)

[2 marks]

(ii)
Since, the x-coordinate of P and Q are same.
It's evident from the graph also. Hence, the distance between the point P and Q is nothing but the difference between their y-coordinates.

Answer: Distance between P and Q = (0 - (-4)) = 4

[2 marks]