Question

es 5 Find all possible values of x for which the distance between points A(x,-1) and B(5, 3) is 5 units.​

Answer 1

Answer:

Distance between (x

1

,y

1

),(x

2

,y

2

)=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

(x

1

,y

1

)=(x,−1) and (x

2

,y

2

)=(5,3)

(x−5)

2

+(−1−3)

2

=5

⇒

(x−5)

2

+16

=5

⇒(x−5)

2

+16=25

⇒(x−5)

2

=9=3

2

⇒x−5=3orx−5=−3

∴x=8orx=2

Hence, there are 2 possible values