Question
Wed April 16, 2014 By: Suyog Gadhave

How to find the image of a line / point with respect to given plane / line. Please give step by step solving method.

Expert Reply
Wed April 16, 2014
Let the equation of a line is ax + by + c = 0 and image of a point P space open parentheses x subscript 1 comma space y subscript 1 close parentheses space i s space Q open parentheses x subscript 2 comma space y subscript 2 close parentheses
 
 
fraction numerator x subscript 2 minus x subscript 1 over denominator a end fraction equals fraction numerator y subscript 2 minus y subscript 1 over denominator b end fraction equals minus fraction numerator 2 open parentheses a x subscript 1 plus b y subscript 1 plus c close parentheses over denominator a squared plus b squared end fraction
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