Question

The point on the x-axis which is equidistant from the points A(-2, 3) and B(5, 4) is ​

Answer 1

Answer:

Let P(x, 0) be a point on X-axis such that AP=BP

⇒AP

2

=BP

2

⇒(x+2)

2

+(0−3)

2

=(x−5)

2

+(0−4)

2

⇒x

2

+4x+4+9⇒x

2

−10x+25+16

⇒14x=28⇒x=2