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CBSE Class 10 Answered

If the distance between the points (-1,2) and (x, 6) is 5, One of the values of 'x' is *  
Asked by hindusrivurimella | 28 Sep, 2020, 07:36: AM
answered-by-expert Expert Answer
We will use here distance formula for distance between two points
Given: Distance between two points = 5

square root of open parentheses negative 1 minus straight x close parentheses squared plus open parentheses 2 minus 6 close parentheses squared end root equals 5
open parentheses negative 1 minus straight x close parentheses squared plus open parentheses 2 minus 6 close parentheses squared equals 25
1 plus straight x squared plus 2 straight x plus 16 equals 25
straight x squared plus 2 straight x minus 8 equals 0
straight x squared plus 4 straight x minus 2 straight x minus 8 equals 0
straight x left parenthesis straight x plus 4 right parenthesis minus 2 left parenthesis straight x plus 4 right parenthesis equals 0
left parenthesis straight x plus 4 right parenthesis left parenthesis straight x minus 2 right parenthesis equals 0
straight x equals negative 4 space or space straight x equals 2
Answered by Renu Varma | 29 Sep, 2020, 10:27: AM
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