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CBSE Class 11-science Answered

Find the value of k for which the point A(-2,3) B(1,2) C(k,0) are collinear. 
Asked by Amritesh1111.ak | 08 Jan, 2019, 10:40: AM
answered-by-expert Expert Answer
 
Point A, B and C are collinear.
 
Slope of AB = Slope of BC
 
begin mathsize 16px style fraction numerator 2 minus 3 over denominator 1 minus left parenthesis negative 2 right parenthesis end fraction space equals space fraction numerator 0 minus 2 over denominator straight k minus 1 end fraction
rightwards double arrow fraction numerator negative 1 over denominator 3 end fraction space equals space fraction numerator negative 2 over denominator straight k minus 1 end fraction
rightwards double arrow 1 space minus space straight k space equals space minus 6
rightwards double arrow straight k space equals space 7 end style
Answered by Yasmeen Khan | 08 Jan, 2019, 11:35: AM
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