Question

If the distance between the polnts (4. k) and (1, 0) Is 5. then what can be the
possible values of k?​

Answer 1

Answer:

according to distance formula

$\sqrt{( {4 - 1)}^{2} + {(k - 0)}^{2} } = 5 \\ = > {3}^{2} + {k}^{2} = 25 \\ = > 9 + {k }^{2} = 25 \\ = > {k}^{2} = 25 - 9 = 16 \\ = > k= \sqrt{16}$

so, k = ± 4

o

Step-by-step explanation:

in second step we have squared both sides.

distance formula is in the attachment.