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If the points A(k+1, 2k), B(3k, …

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

Posted by Vinakshi Rana 6 years ago

CBSE > Class 10 > Mathematics

2 answers

Aryan Kothari 6 years ago

Sorry K=2 and K=1/2

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Aryan Kothari 6 years ago

Its simple , it is given that all three points are collinear i.e. area of points A,B&C is zero. So by putting formula: Area of points A,B&C =1/2 [X1 (Y2-Y3) + X2 (Y3-Y1) + X3 (Y1-Y2)] Where , Area=0, X1=(k+1), X2=3k, X3=(5k-1), Y1=2k, Y2=(2k+3), and Y3=5k. We get X=2 and X=1/2..

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CBSE > Class 10 > Mathematics