Question

Distance between the points (7, 3) and(k, 3) is 5 units. Value of k is 2.

True

False

​

Answer 1

Answer:

k = 2, 12

True

Step-by-step explanation:

Given there are two points (7,3) and (k,3).

Also,

Distance between the points = 5 units.

To find the value of k.

We know that,

For given two points, (a,b) and (c,d),

Distance between them is given by,

• $\sqrt{ {(c - a) }^{2} + {(d - b)}^{2} }$

Therefore, we will get,

$= > \sqrt{ {(k - 7)}^{2} + {(3 - 3)}^{2} } = 5 \\ \\ = > {(k - 7)}^{2} = {5}^{2} \\ \\ = > k - 7 = \pm5 \\ \\ = > k = 7 \pm5\\ \\ = > k = 12 \: \: or \: \: 2$

Hence, the required value of k is 2 and 12.