Advertisement Remove all ads

Find All Possible Values of X for Which the Distance Between the Points A(X,-1) and B(5,3) is 5 Units. - Mathematics

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

Find all possible values of x for which the distance between the points

A(x,-1) and B(5,3) is 5 units.

Advertisement Remove all ads

Solution

Given AB = 5 units 

Therefore, (AB)2 = 25 units 

`⇒(5-a)^2 +{3-(-1)}^2 = 25`

`⇒(5-a)^2+(3+1)^2 = 25`

`⇒(5-a)^2 + (4)^2 =25`

`⇒(5-a)^2 +16 =25`

`⇒(5-a)^2 =25-16`

`⇒(5-a)^2 = 9`

`⇒(5-a)=+-sqrt(9)`

`⇒ 5-a=+-3`

`⇒5-a =3 or 5-a=-3`

`⇒ a=2 or 8`

Therefore, a = 2 or 8.

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 3

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×