Math, asked by vaibhavgaur3118, 10 months ago

If the points A(k+1,2k),B(3k,2k+3)and c(5k-1,5k)are collinear,then find the value of k

Answers

Answered by ihrishi
2

Step-by-step explanation:

Since, given points are collinear

Therefore, their SLOPES will be equal.

 \frac{2k + 3 - 2k}{3k - (k + 1)}  =  \frac{5k - (2k + 3)}{5k - 1 - 3k}  \\  \therefore \:  \frac{3}{3k - k  - 1}  =  \frac{5k - 2k  -  3}{5k - 1 - 3k}  \\  \therefore \:  \frac{3}{2k - 1}  =  \frac{3k  -  3}{2k - 1}   \\  \implies \: 3 = 3k - 3\\  \implies \: 3  + 3= 3k  \\  \implies \: 6= 3k  \\   \implies \: k =  \frac{6}{3}  \\ \implies \: \huge \fbox{ k =  2}

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