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ICSE Class 10 Answered

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Asked by Rayeesa | 29 May, 2018, 07:50: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight P comma space straight Q space and space straight R space are space the space collinear space points.
straight P left parenthesis space minus 1 comma space 2 right parenthesis space comma space straight Q left parenthesis space 2 comma space minus 2 right parenthesis space and space Let space straight R space left parenthesis space straight x comma space straight y space right parenthesis.
PQ space equals space square root of left parenthesis space 2 plus space 1 right parenthesis squared plus left parenthesis space minus 2 space minus 2 right parenthesis squared space end root space equals space 5
PR space equals space 15 comma space PQ space equals space 5 space then space QR equals space 10..... since space straight P comma space straight Q space and space straight R space are space the space collinear space points.
rightwards double arrow Point space straight Q space divides space PR space in space the space ratio space 1 colon 2.
By space cross space section space Formula comma
straight Q left parenthesis space 2 comma space minus 2 right parenthesis space equals space left parenthesis space fraction numerator straight m subscript 1 straight x subscript 2 space end subscript plus space straight m subscript 2 straight x subscript 1 space end subscript over denominator straight m subscript 1 space plus space straight m subscript 2 end fraction comma space fraction numerator straight m subscript 1 straight y subscript 2 space plus space straight m subscript 2 straight y subscript 1 over denominator straight m subscript 1 space plus space straight m subscript 2 end fraction right parenthesis
rightwards double arrow left parenthesis space 2 comma space minus 2 right parenthesis space space equals left parenthesis fraction numerator straight x space minus space 2 over denominator 3 end fraction space comma space fraction numerator straight y space plus space 4 over denominator 3 end fraction right parenthesis
rightwards double arrow fraction numerator straight x space minus space 2 over denominator 3 end fraction space equals space 2 space comma space fraction numerator straight y space plus space 4 over denominator 3 end fraction space equals negative 2
rightwards double arrow straight x space equals space 8 comma space straight y space equals space minus 10.
straight R space left parenthesis space straight x comma space straight y space right parenthesis space equals space straight R space left parenthesis space 8 comma space minus 10 space right parenthesis
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Answered by Yasmeen Khan | 29 May, 2018, 12:14: PM
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