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Asked by Rayeesa | 29th May, 2018, 07:50: AM

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 end style$

Answered by Yasmeen Khan | 29th May, 2018, 12:14: PM

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