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Solution of x-3y-2z=0, 2x-y+4z=0, x-11y+14z=0 is

a) 

\frac{x}{8}=\frac{y}{-10}=\frac{z}{7}=\lambda

b) 

\frac{x}{-10}=\frac{y}{8}=\frac{z}{7}=\lambda

c) 

\frac{x}{7}=\frac{y}{8}=\frac{z}{-10}=\lambda

d) 

None of these
 

Asked by Ranjeetgupta26068 20th May 2019, 10:45 AM
Answered by Expert
Answer:
x minus 3 y minus 2 z equals 0 comma space 2 x minus y plus 4 z equals 0 comma space x minus 11 y plus 14 z equals 0
C o e f f i c i e n t space m a t r i x space o f space t h e s e space t h r e e space l i n e a r space e q u a t i o n s space i s space g i v e n space b y
open square brackets table row 1 cell negative 3 end cell cell negative 2 end cell row 2 cell negative 1 end cell 4 row 1 cell negative 11 end cell 14 end table close square brackets
rightwards double arrow fraction numerator x over denominator open vertical bar table row cell negative 1 end cell 4 row cell negative 11 end cell 14 end table close vertical bar end fraction equals fraction numerator negative y over denominator open vertical bar table row 2 4 row 1 14 end table close vertical bar end fraction equals fraction numerator z over denominator open vertical bar table row 2 cell negative 1 end cell row 1 cell negative 11 end cell end table close vertical bar end fraction
rightwards double arrow fraction numerator x over denominator negative 14 plus 44 end fraction equals fraction numerator negative y over denominator 28 minus 4 end fraction equals fraction numerator z over denominator negative 22 plus 1 end fraction
rightwards double arrow x over 30 equals fraction numerator negative y over denominator 24 end fraction equals fraction numerator z over denominator negative 21 end fraction
rightwards double arrow x over 30 equals fraction numerator y over denominator negative 24 end fraction equals fraction numerator z over denominator negative 21 end fraction
rightwards double arrow x over 10 equals fraction numerator y over denominator negative 8 end fraction equals fraction numerator z over denominator negative 7 end fraction
rightwards double arrow fraction numerator x over denominator negative 10 end fraction equals y over 8 equals z over 7 equals lambda
H e n c e comma space o p t i o n space B thin space i s space c o r r e c t.
Answered by Expert 20th May 2019, 12:30 PM
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