Q.

P=(−5,4)  and Q=(−2,−3) . If PQ¯  is produced to R such that p divides QR¯  externally in the ratio 1:2 , thenR  is

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a

(1,10)

b

(1,−10)

c

(10,1)

d

(2,−10)

answer is B.

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Detailed Solution

P divides QR  in the ratio1:2  externally ⇒PQ:PR=1:2⇒2PQ=PR ⇒Q  is the midpoint of PR⇒R=2Q−P=(1,−10)
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