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CBSE Class 10 Answered

Find the distance between the points:(-6/5,-3) and ( -4,-7/5)
Asked by swatipuspapatel | 28 Jul, 2021, 04:31: PM
Expert Answer
begin mathsize 16px style Let space straight A equals space open parentheses fraction numerator negative 6 over denominator 5 end fraction comma space minus 3 close parentheses space and space straight B space equals space open parentheses negative 4 comma space fraction numerator negative 7 over denominator 5 end fraction close parentheses
By space using space distance space formule comma
Distance space between space straight A space and space straight B space
equals space AB
space equals square root of open parentheses straight x subscript 2 minus straight x subscript 1 close parentheses squared plus open parentheses straight y subscript 2 minus straight y subscript 1 close parentheses squared end root
equals square root of open parentheses negative 4 plus 6 over 5 close parentheses squared plus open parentheses fraction numerator negative 7 over denominator 5 end fraction plus 3 close parentheses squared end root
equals square root of open parentheses fraction numerator negative 14 over denominator 5 end fraction close parentheses squared plus open parentheses 8 over 5 close parentheses squared end root
equals square root of fraction numerator 196 plus 64 over denominator 25 end fraction end root
equals square root of 260 over 25 end root
equals square root of fraction numerator 4 cross times 65 over denominator 25 end fraction end root
equals fraction numerator 2 square root of 65 over denominator 5 end fraction space
equals 0.4 cross times 8.062 space...... open parentheses 2 over 5 equals 0.4 space and space square root of 65 equals space 8.062 close parentheses
equals 3.2248 space units
end style
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