Question

Find the value of k (k,3) and (2,3) is 5
A: 5
B: 6
C: 7
D: 8​

Answer 1

`C)~ 7`

Explanation:

`\text{Given that,}~~ (x_1,y_1) = (k,3)~ \text{and}~ (x_2 ,y_2) = (2,3)\\\\\text{Distance,}~ \\\\~~~~~~~~d= √((x_2 -x_1)^2 + (y_2 -y_1)^2)\\\\\implies 5=√((2-k)^2 + (3-3)^2)\\\\\implies 5=√((2-k)^2 +0)\\\\\implies 5 = √((2-k)^2)\\\\\implies 5=|2-k|\\\\\implies \pm 5=2-k \\\\\implies 2-k =5~~~~~~\text{or}~~~~~~~~2-k = -5\\\\\implies k = 2-5~~~~~~\text{or}~~~~~~~~k = 2+5\\\\\implies k = -3~~~~~~~~~\text{or}~~~~~~~~k = 7`

Answer 2

its option c (7)

Explanation:

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