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Question

The distance of a point (2,3) from the x axis is



A

3 units

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B

2 units

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C

5 units

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D

1 unit

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Solution

Since, we have the distance between two points A(x1,y1) and B(x2,y2) is =(x2x1)2+(y2y1)2......(i)
Given points A(x1,y1)=(2,3) and the other point lies on xaxis. so the other  B(x2,y2)=(2,0) as the the yordinate on x axis is equals to 0 and also this point is closure of A among other points on xaxis.
Substitute the values of given points in equation(i), we get required distance as 
=(22)2+(03)2
=02+(3)2
=(3)2
=3units
Therefore, the distance between two given points is=3 units

Alternatively,  the distance of a point from x axis is the length of its ycoordinate,
In this case, the y-ordinate is 3.
Hence, the required distance is =3units

Therefore, the correct option is A ( 3 units)


Mathematics

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