SATHEE: Quantitative Aptitude Ques 334

Quantitative Aptitude Ques 334

Question: If the points $ M,(1,-1), $ $ N,(5,2) $ and $ C,(k,5) $ are collinear, then k is equal to

Options:

A) 6

B) $ -,3 $

C) 9

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

Here, $ x _1=1, $ $ x _2=5, $ $ x _3=k, $ $ y _1=-1, $ $ y _2=2 $ and $ y _3=5 $

$ \therefore $ Points are collinear Then, $ \Delta =0 $

$ \Rightarrow $ $ {x _1(y _2-y _3)+x _2(y _3-y _1)+x _3(y _1-y _2)}=0 $

$ \Rightarrow $ $ 1,(2-5)+5,(5+1)+k,(-1-2)=0 $

$ \Rightarrow $ $ -,3+30-3k=0 $

$ \Rightarrow $ $ 3k=27 $
$ \Rightarrow $ $ k=9 $

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Quantitative Aptitude Ques 334

Question: If the points $ M,(1,-1), $ $ N,(5,2) $ and $ C,(k,5) $ are collinear, then k is equal to

Options:

Answer:

Solution:

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