Question

If the distance between the point A(x,5,1) and B ( 5,-1,7) is 9 units ,then x is

Answer 1

Step-by-step explanation:

given:- Points (5,-1,7) and (x, 5,1) Distance is 9 units

find:- x

$\color{darkcyan} \underline{ \begin{array}{ || |l| || } \hline \color{magenta} \\ \hline \boxed{ \text{ \tt \: Solution:-} } \end{array}}$

By using Distance formula we have,

$\pmb{\[ \begin{array}{l} \tt \sqrt{(5-x)^{2}+(-1-5)^{2}+(7-1)^{2}}=9 \\ \\ \tt (5-x)^{2}+(-6)^{2}+(6)^{2}=(9)^{2} \\ \\ \tt (5-x)^{2}=81-36-36 \\ \\ \tt (5-x)^{2}=9 \\ \\ \tt \therefore 5-x=3 \text { and } 5-x=-3 \\ \\ \tt x=2 \text { and } x=8 \end{array} \]}$

Hence value of x=2 or x=8 Ans.