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ICSE Class 10 Answered

In what to ratio does the line x-y-2=0 divide the line segment joining the points (3,-1) and (8,9)?
Asked by vinitsinha21feb | 22 Feb, 2018, 01:16: AM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight x minus straight y equals 2 space divides space segment space in space the space ratio space straight t colon 1 space at space point space straight A
Coordinates space of space straight A space are
open parentheses fraction numerator 8 straight t plus 3 over denominator straight t plus 1 end fraction comma fraction numerator 9 straight t minus 1 over denominator straight t plus 1 end fraction close parentheses
straight A space lies space on space the space straight x minus straight y equals 2
fraction numerator 8 straight t plus 3 over denominator straight t plus 1 end fraction minus fraction numerator 9 straight t minus 1 over denominator straight t plus 1 end fraction equals 2
Solving space this space we space get space straight k equals 2 over 3
Hence comma space straight x minus straight y equals 2 space divides space segment space joining space left parenthesis 3 comma negative 1 right parenthesis space and space left parenthesis 8 comma 9 right parenthesis space is space 2 colon 3 end style
Answered by Sneha shidid | 22 Feb, 2018, 10:27: AM
ICSE 10 - Maths
Asked by vinitsinha21feb | 22 Feb, 2018, 01:16: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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