Example 4 Three points P (h, k), Q (x1, y1) and R (x2, y2) lie on a line. Show that (h x1) (y2 y1) = (k y1) (x2 x1). Since 3 points P, Q and R are collinear So, Slope of QP = Slope of RQ We know that slope of a line passing through (x1, y1)(x2, y2)is m = ( _2 _1)/( _2 _1 ) Now, Slope of QP = Slope of RQ ( _1 )/( _1 ) = ( _2 _1)/( _2 _1 ) (k y1) (x2 x1) = (h x1) (y2 y1) (h x1) (y2 y1) = (k y1) (x2 x1) Hence proved

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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