Question
Thu March 05, 2015 By: Surajsubedi14

, Question no 89009, Mathematics

Expert Reply
Prasenjit Paul
Fri March 06, 2015
A n y space l i n e space p a s sin g space t h r o u g h space t h e space p o i n t space o f space i n t e r s e c t i o n space o f space a subscript 1 x plus b subscript 1 y plus c subscript 1 equals 0 space a n d space a subscript 2 x plus b subscript 2 y plus c subscript 2 equals 0 space i s a subscript 1 x plus b subscript 1 y plus c subscript 1 plus lambda left parenthesis a subscript 2 x plus b subscript 2 y plus c subscript 2 right parenthesis equals 0 comma space w h e r e space lambda space i s space a space c o n s tan t. F o r space f i n d i n g space t h e space v a l u e space o f space lambda comma space s o m e space o t h e r space c o n d i t i o n s space m u s t space b e space g i v e n.  F o r space t h i s space q u e s t i o n comma space T h e space e q u a t i o n space o f space t h e space l i n e space p a s sin g space t h r o u g h space 4 x minus 7 y minus 3 equals 0 space a n d space 2 x minus 3 y plus 1 equals 0 space w i l l space b e 4 x minus 7 y minus 3 plus lambda left parenthesis 2 x minus 3 y plus 1 right parenthesis equals 0 x left parenthesis 4 plus 2 lambda right parenthesis plus y left parenthesis negative 7 minus 3 lambda right parenthesis plus left parenthesis negative 3 plus lambda right parenthesis equals 0 T h e space q u e s t i o n space i s space i n c o m p l e t e comma space i n space o r d e r space t o space f i n d space t h e space v a l u e space o f space lambda comma space y o u space h a v e space t o space b e space g i v e n space a n o t h e r space c o n d i t i o n. P l e a s e space c h e c k space t h e space q u e s t i o n.
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