Question

If the distance between the two points x,-7) and (3.-3) is 5 units, then the value of x are
(a) 0 or 6
(b) 2 or 3
(c) 5 or 1
(d) -6 or 0​

Answer 1

Answer:

a) 0 or 6

Step-by-step explanation:

distance between two points

$5= \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ 5 = \sqrt{ {(3 - x)}^{2} + {( - 3 - ( - 7))}^{2} } \\ 5 = \sqrt{ {(3 - x)}^{2} + {( - 3 + 7)}^{2} } \\ 5 = \sqrt{ {(3 - x)}^{2} + {( 4)}^{2} } \\ squaring \: on \: both \: side \\ 25 = {(3 - x)}^{2} + 16 \\ 25 - 16 = {(3 - x)}^{2} \\ 9 = 9 + {x}^{2} - 6x \\ {x}^{2} - 6x + 9 - 9 = 0 \\ {x}^{2} - 6 = 0 \\ x(x - 6) = 0 \\ x = 0 \: \: \: x - 6 = 0 \\ x = 0 \: \: \: \: \: x = 6$

the missing x co-ordinate will be 0 or 6

therefore option (a) is correct

Hope you get your answer