Question

A is a point on the x-axis and B is the distance between the points A and B is 50 units. find the coordinates of point A​

Answer 1

Step-by-step explanation:

Hope it helps you !! plz mark it as brainliest....

Answer 2

The given question is incomplete. Another similar question is

A is a point on the x axis and B is -2,9 distance between the points A and B is 15 units .

The coordinates of A is (-14,0) or (10,0)

Le the x-coordinate of the point A be x.

So, the point A lying on the x-axis is (x,0)

B is (-2,9)

Distance between two points (x1,y1) and (x2,y2) is given as:

D = √[(x2-x1)²+(y2-y1)²]

Here,

x2 = -2

x1 = x

y2 = 9

y1 = 0

So, D = √[(-2-x)²+(9-0)²]

This is  equal to 15. So,

15 = √[(2+x)²+9²]

⇒ √(x²+4x+4+81) = 15

⇒ √(x²+4x+85) = 15

Squaring both sides, we get,

x²+4x+85 = 225

⇒ x²+8x-140 = 0

⇒ x²+ 14x - 10x - 140 = 0

⇒ x(x+14) -10(x+14) = 0

⇒ (x+14)(x-10) = 0

x = 10, -14.

So, A is (10,0) or (-14,0)