Question

what is the perpendicular distance of the point (0,3) from x axis​

Answer 1

Step-by-step explanation:

Hint: Plot the point P (2, 3) on a Cartesian plane. Find the shortest distance this point places from the x – axis. Find the distance using the distance formula.

Complete step-by-step answer:

Let us mark the point P (2, 3) in the Cartesian plane.

The shortest distance between the coordinate (2, 3) and the x – axis is a straight line to the point (2, 0).

We are said to find the shortest distance from (x - axis). So the point is (2, 0).

To find the distance, we can use the distance formula.

Distance formula =(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Here, (x1,y1)=(2,0)

, (x2,y2)=(2,3)

.

=(2−2)2+(3−0)2−−−−−−−−−−−−−−−√=0+9−−−−√=9–√=3

Thus the shortest distance of the point P (2, 3) to the x – axis is 3 units.

∴

Option (b) is the correct answer.