Question

The distance of a point from the x axis is 2 units and its distance from the y axis is 3 units ,then the coordinates of the point is given by a) (2, 4) b) (3, 2) c) ( 2, 3) d) (4, 2)

Answer 1

Answer:

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.

Note: If we were asked to find the distance of point P (2, 3) from the y – axis, then the shortest distance between the coordinates (2, 3) and the y – axis will be a straight line to the point (0, 3).

Thus the distance can be calculated by distance formula.

(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√=(2−0)2+(3−3)2−−−−−−−−−−−−−−−√=4+0−−

Answer 2

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