Advertisement Remove all ads

If the Points P (X , Y) is Point Equidistant from the Points a (5,1)And B ( -1,5) , Prove that 3x=2y - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

If the points p (x , y) is point equidistant from the points A (5,1)and B ( -1,5) , Prove that 3x=2y

Advertisement Remove all ads

Solution

As per the question, we have

AP = BP

`⇒ sqrt((x -5)^2 +(y-1)^2) = sqrt((x+1)^2 +(y-5)^2)`

`⇒(x-5)^2 +(y-1)^2 = (x+1)^2 +(y-5)^2`          (Squaring both sides) 

`⇒x^2 - 10x +25 + y^2 -2y +1 = x^2 +2x +1+y^2 -10y+25`

⇒ - 10x -2y =2x-10y

⇒ 8y = 12x

⇒3x=2y

Hence, 3x=2y.

Concept: Coordinate Geometry
  Is there an error in this question or solution?

APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 11

Video TutorialsVIEW ALL [2]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×