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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 | 20 May, 2019, 10:45: AM
answered-by-expert 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 Renu Varma | 20 May, 2019, 12:30: PM

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