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Points A, B and C having coordinates (2, 4), (5, 3) & (k, 1), respec

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Points A, B and C having coordinates (2, 4), (5, 3) & (k, 1), respec [#permalink] New post   27 Nov 2024, 01:23
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Points A, B and C having coordinates (2, 4), (5, 3) & (k, 1), respectively, are collinear. What is the value of k?

A. 1

B. 5

C. 9

D. 11

E. 12


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D
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adewale223
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Re: Points A, B and C having coordinates (2, 4), (5, 3) & (k, 1), respec [#permalink] New post   27 Nov 2024, 15:11
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Collinear means points are on the same line

Gradient


4 - 3/2 - 5 = - 1/3



- 1/3 = 1 - 3/k - 5

-k + 5 = 3 - 9

k = 11

Answer D
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Re: Points A, B and C having coordinates (2, 4), (5, 3) & (k, 1), respec [#permalink]
27 Nov 2024, 15:11
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