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Q.

If P, Q, R are collinear points such that P=(3, 4),R=(11, 10) and PQ=2.5 then Q=

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a

(5, 112)

b

(52, 11)

c

(5, 5)

d

(5, 6)

answer is A.

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Detailed Solution

P(3,4),R(11,10),PQ=2.5 PR=64+36=10QR=10−2.5=7.5PQ:QR=2.5:7.5=1:3Q=R+3P1+3=(11,10)+(9,12)4=(5,112)
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If P, Q, R are collinear points such that P=(3, 4),R=(11, 10) and PQ=2.5 then Q=