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Q.

In ABC,P,Q,R are points on BC¯,CA¯,AB¯ respectively, dividing them in the ratio 1:4, 3:2 and 3:7 the point S divides AB in the ratio 1:3 then |AP¯+BQ¯+CR¯||CS¯|=

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a

15

b

25

c

45

d

1

answer is B.

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Detailed Solution

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OP¯=OC¯+4OB¯5,OQ¯=3OA¯+2OC¯5,OR¯=3OB¯+7OA¯10,OS¯=OB¯+3OA¯4AP¯+BQ¯+CR¯=OP¯OA¯+OQ¯OB¯+OR¯OC¯4OS¯4OC¯10=25CS¯|AP¯+BQ¯+CR¯||CS¯|=25

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