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Find the value of k .If the points A(k+1,2k) B(3k,2k+3) and C(5k-1,5k) are collinear?

Posted by Ragahav Singh 5 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Arpit Srivastava 5 years, 10 months ago

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Tanishque Agarwal 5 years, 11 months ago

1/2(k+1(2k+3-5k) + 3k (5k - 2k) +5k-1(2k-2k-3))=0 k+1(-3k +3)+3k(3k)+5k-1(-3)=0 -3k²+3k-3k+3+9k²-15k+3=0 6k²-15k+6=0 By using splitting the middle term method, 6k²-12k-3k+6 6k(k-2)-3(k-2) (6k-3)(k-2) K=1/2 or 2

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CBSE > Class 10 > Mathematics