Answer:
Using distance formulaAB=
(x
2
−x
1
)
+(y
−y
From the question
5=
(1−4)
+(0−k)
⇒25=9+k
on squaring
⇒k
=25−9=16
∴k=±4
∴k takes 2 values{−4,+4}.
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Answers & Comments
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}.