Question

The distance between the points (3,5) and (4,3) is x units. Therefore x =​

Answer 1

Answer:

We know that the distance between the two points (x

1

,y

1

) and (x

2

,y

2

) is

d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Here, the given points are (3,1) and (0,x) and the distance is 5 units, therefore,

d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

⇒5=

(0−3)

2

+(x−1)

2

⇒5=

(−3)

2

+(x−1)

2

⇒5=

9+(x−1)

2

⇒5

2

=(

9+(x−1)

2

)

2

⇒25=9+(x−1)

2

⇒(x−1)

2

=25−9

⇒(x−1)

2

=16

⇒x−1=±

16

⇒x−1=±4

⇒x−1=4,x−1=−4

⇒x=4+1,x=−4+1

⇒x=5,x=−3

Hence, x=−3,5.