# If P (X , Y ) is Equidistant from the Points a (7,1) and B (3,5) Find the Relation Between X and Y - Mathematics

If P (x , y )  is equidistant from the points  A (7,1)  and B (3,5) find the relation between x and y

#### Solution

Let the point P(x, y) be equidistant from the points A(7, 1) and B(3, 5) Then

PA = PB

⇒ PA^2 = PB^2

⇒(x-7)^2 +(y-1)^2 = (x-3)^2 +(y-5)^2

⇒ x^2 +y^2 -14x-2y +50 = x^2 +y^2 -6x -10y +34

⇒ 8x -8y = 16

⇒ x-y =2

Concept: Distance Formula
Is there an error in this question or solution?

#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 13