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Q.

 A=(2,3),B=(x,y)  and if C(3,4) divides AB in the ratio 1:5 internally then B=

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a

(8,9)

b

(8,9)

c

(8,9)

d

(8,9)

answer is A.

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Detailed Solution

A=(2,3),B=(x,y)

Given that C(3,4)= the point which divides AB¯ in the ratio 1:5 internally

(3,4)=(1(x)+5(2)1+5,1(y)+5(3)1+5)

(3,4)=(x+106,y+156)

x+106=3,y+156=4

(x,y)=(8,9)

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