Question

the point (3,2) is nearer to a x axis y axis or origin​

Answer 1

Answer:

nearer to x axis.

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Answer 2

The point (3,2) is nearer to the x-axis.

Given : The coordinates of the point = (3,2)

To find : To determine whether the point is nearer to the x-axis or y-axis or origin.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

In case of given point (3,2) :

• Abscissa = 3
• Ordinate = 2

Now, abscissa of a point is the distance of a point from the y-axis and ordinate of a point is the distance of a point from x-axis.

So,

The distance of point (3,2) from y-axis = 3 units

The distance of point (3,2) from x-axis = 2 units

Now, coordinates of the origin = (0,0)

Now, we have to calculate the distance between the origin and the given point.

Distance between two points = √[(x2 - x1)² + (y2 - y1)²]

Now, coordinates of the origin = (0,0)

Coordinates of the given point = (3,2)

Here, we will be assuming that :

(x1,y1) = (3,2)

(x2,y2) = (0,0)

So, distance between the origin and the given point :

= √[(0-3)² + (0-2)²]

= √[(-3)²+(-2)²]

= √(9+4)

= √13

= 3.605 units (approx.)

So, among the three distances (from x-axis, y-axis and origin), the distance from x-axis is the shortest. (2 < 3 < 3.605)

Hence, the point is nearer to x-axis.