Question

The coordinates of a point B are (0, - 4). If the distance between A and B is 5 units, then x - coordinate of the point A on x - axis will be ​

Answer 1

Answer:

The x-coordinate of point A on x-axis will be 3.

Step-by-step explanation:

Given: Distance between point A and point B is 5. Also, the coordinates of point B are (0,-4). We need to find the x-ccordinate of the point A on x-axis.

Since, point A lies on x-axis. Therefore, its y-coordinate will be zero i.e., point A will be (x,0).

w.k.t., distance between two points (x₁,y₁) and (x₂,y₂) is $\sqrt{(x_{2} -x_{1})^{2}+(y_{2}-y_{1})^{2}}$

So, distance between point A (x,0) and point B (0,-4) is

= $\sqrt{(0 -x)^{2}+(-4-0)^{2}}$ = 5

On squaring both sides we get,

x² + 16 = 25

or x² = 25-16 = 9

or x = √9

or x = 3

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