Question

if the distance bbetween the points (4, k) and (1, 0) is 5.then find the value of k​

Answer 1

Answer:

Using distance formulaAB=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

From the question

5=

(1−4)

2

+(0−k)

2

⇒25=9+k

2

on squaring

⇒k

2

=25−9=16

∴k=±4

∴k takes 2 values{−4,+4}.

Answer 2

Answer:

Using distance formulaAB=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

From the question

5=

(1−4)

2

+(0−k)

2

⇒25=9+k

2

on squaring

⇒k

2

=25−9=16

∴k=±4

∴k takes 2 values{−4,+4}.