In what ratio does y-axis divide the line of (7,3) &(-5,-12)

Asked by hemanttkumarr | 4th Oct, 2017, 06:16: AM

Expert Answer:

begin mathsize 16px style Let space straight y minus axis space divides space the space line space of space left parenthesis 7 comma space 3 right parenthesis space and space left parenthesis negative 5 comma space minus 12 right parenthesis space in space the space ratio space 1 space colon space straight n.
rightwards double arrow straight X minus space coordinate space will space be space fraction numerator negative 5 plus 7 straight n over denominator 1 plus straight n end fraction.
as space straight Y space divides space the space line space joiing space left parenthesis 7 comma space 3 right parenthesis space and space left parenthesis negative 5 comma space minus 12 right parenthesis space if space straight X minus space coordinate space is space zero.
fraction numerator negative 5 plus 7 straight n over denominator 1 plus straight n end fraction equals 0
minus 5 space plus space 7 straight n space equals space 0
straight n space equals space 5 over 7
Hence comma space straight Y minus axis space divides space given space points space in space the space ratio space 1 space colon space 5 over 7 space straight i. straight e. space 7 space colon space 5.
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Answered by Sneha shidid | 28th Dec, 2017, 10:08: AM