Question

17. Find the value of 'k' if the distance between (k,3)and (2,3) is 5.
(a)5
(b) 6
(c)7
(d)8​

Answer 1

Answer:

=5=unde root (2-k) square +(3-3)square

5=under root (2-k)square +0

By squaring on both sides, we get

=25=(2-k) square

By rooting both sides

=5=(2-k)

=k=7

Answer 2

The correct option is '(c)7'

Step-by-step explanation:

By the distance formula,

The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is,

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2$

Thus, the distance between (k,3)and (2,3),

$d=\sqrt{(k-2)^2+(3-3)^2}$

$=\sqrt{(k-2)^2}$

$=k-2$

According to the question,

k-2 = 5

⇒ k = 5 + 2 = 7

Hence, the value of k is 7.

#Learn more:

Find distance between two points :

https://brainly.in/question/6310869