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Q.

If A, B, C are collinear points such thatA(−1,1),B(0,−2)  and AC=10,  then C=

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a

(10, 11)

b

(–11, –10)

c

(−2, 4)

d

(–10, –11)

answer is C.

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Detailed Solution

A(−1,1),B(0,−2)         AB=1+9=10 AC=10 A is the mid pt of B,C ⇒  B+C=2A ⇒ C=2A–B =(−2,2)−(0,−2)=(−2,4)
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