if the distance between two points a and b is 10 and their co-ordinates are a(2,-3) and b(x,3). find x

Asked by namita2494 | 24th Feb, 2021, 11:07: PM

Expert Answer:

B y space d i s tan c e space f o r m u l a
square root of open parentheses x minus 2 close parentheses squared plus open parentheses 3 minus left parenthesis negative 3 right parenthesis close parentheses squared end root equals 10

square root of x squared plus 2 squared minus 4 x plus 6 squared end root equals 10
100 equals x squared minus 4 x plus 40
x squared minus 4 x minus 60 equals 0
x squared minus 10 x plus 6 x minus 60 equals 0
x open parentheses x minus 10 close parentheses plus 6 open parentheses x minus 10 close parentheses equals 0
open parentheses x minus 10 close parentheses open parentheses x plus 6 close parentheses equals 0
x equals 10 space space space space o r space x equals negative 6

Answered by Utkarsh Lokhande | 25th Feb, 2021, 06:52: AM

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