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Q.

In a ΔABC, A=(1, 2) . Mid–points of AB, AC are respectively (1, −2), (2, 1) . Then B, C are respectively

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a

(1, −6), (3, 0)

b

(1, −6), (2, −3)

c

(2, 0), (52, 32)

d

(−5, 6), (0, 7)

answer is A.

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Detailed Solution

A(1,2),F(1,−2),E(2,1)   A+B2=F⇒B=2F−A ⇒(2,−4)−(1,2)=(1,−6)                E=A+C2⇒C=2E−A =(4,2)−(1,2)=(3,0)
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