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CBSE Class 12-science Answered

Two lines given- L₁: x+1/3 = y-3/-2 = z+2/-1 L₂: x/-1=y-7/3=z+7/-2 Find the point of intersection of the lines L₁ and L₂.
Asked by suman.sh01 | 07 Jun, 2022, 07:22: PM
answered-by-expert Expert Answer
L subscript 1 colon space fraction numerator x plus 1 over denominator 3 end fraction equals fraction numerator y minus 3 over denominator negative 2 end fraction equals fraction numerator z plus 2 over denominator negative 1 end fraction equals lambda rightwards double arrow x equals 3 lambda minus 1 comma space y equals negative 2 lambda plus 3 comma space z equals negative lambda minus 2 space space... space left parenthesis i right parenthesis L subscript 2 colon space fraction numerator x over denominator negative 1 end fraction equals fraction numerator y minus 7 over denominator 3 end fraction equals fraction numerator z plus 7 over denominator negative 2 end fraction equals mu rightwards double arrow x equals negative mu comma space y equals negative mu plus 7 comma space z equals negative 2 mu minus 7 space space... space left parenthesis i i right parenthesis F r o m space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space g e t 3 lambda minus 1 equals negative mu space space space... space left parenthesis i i i right parenthesis minus 2 lambda plus 3 equals negative mu plus 7 space space space... space left parenthesis i v right parenthesis P u t t i n g space mu space f r o m space left parenthesis i i i right parenthesis space i n space left parenthesis i v right parenthesis rightwards double arrow negative 2 lambda plus 3 equals 3 lambda minus 1 plus 7 rightwards double arrow negative 5 lambda equals 3 rightwards double arrow lambda equals negative 3 over 5 space rightwards double arrow mu equals negative 3 open parentheses negative 3 over 5 close parentheses plus 1 equals 9 over 5 plus 1 equals 14 over 5
Answered by Renu Varma | 08 Jun, 2022, 11:31: AM

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CBSE 12-science - Maths
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