Example 4 - Three points P (h, k), Q (x1, y1), R (x2, y2) - Examples

Example 4 - Chapter 10 Class 11 Straight Lines - Part 2

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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo