Question

2. If the distance between the points (4,k) and
(1,0) is 5, then find the value of k.​

Answer 1

Step-by-step explanation:

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}.