Ex 10.1, 13 - If points (h, 0), (a, b), (0, k) lie on a line - Collinearity of 3 points by sliope

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Ex10.1, 13 If three point (h, 0), (a, b) and (0, k) lie on a line, show that / + / = 1 . Let points be A = (h, 0) , B = (a, b) , C = (0, k) Given that A, B & C lie on a line Hence the 3 points are collinear Slope of AB = Slope of BC We know that slope of a line through the points (x1, y1)(x2, y2)is m = ( 2 1)/( 2 1) ab = ka kh ab + bh ab + ab = ka kh + bh 0 = ka + bh kh ka + bh = kh Dividing both sides by kh / + / = / / + /k = 1 Hence proved

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.