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CBSE Class 10 Answered

Find the ratio in which the line segment joining the points (1, -3) and (- 4, 5) is divided by the x-axis.
Asked by Topperlearning User | 26 Sep, 2017, 02:15: PM
answered-by-expert Expert Answer
begin mathsize 12px style Let space the space required space ratio space be space straight k space colon 1 space and space the space point space on space the space straight x minus axis space be space left parenthesis straight x comma space 0 right parenthesis. Here comma space open parentheses straight x subscript 1 comma space straight y subscript 1 close parentheses equals open parentheses 1 comma space minus 3 close parentheses space and space open parentheses straight x subscript 2 comma space straight y subscript 2 close parentheses equals open parentheses negative 4 comma space 5 close parentheses Now comma space 0 equals fraction numerator straight k cross times 5 plus 1 cross times left parenthesis negative 3 right parenthesis over denominator straight k plus 1 end fraction therefore space 0 equals 5 straight k minus 3 therefore space 5 straight k equals 3 therefore space straight k equals 3 over 5 Hence comma space the space required space ratio space is space 3 over 5 space colon space 1 comma space straight i. straight e. comma space 3 space colon space 5. end style
Answered by | 26 Sep, 2017, 04:15: PM

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