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The values of a for which the system of equations x+y+z=1,x+2y+4z=α,x+4y+10z=α2 is consistent is given by

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a
1,-2
b
-1,2
c
1,2
d
None of these

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detailed solution

Correct option is C

x+y+z=1_______1x+2y+4z=α_______2x+4y+10z=α2______3Sub 1st eqn from 2 & 3 we havey+3z=α-1∣3y+9z=α2-1⇒α2-1=3(α-1)=1⇒α=1or α=2


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If the system of equations ax + y= 3, x + 2y = 33x + 4y = 7 is consistent, then value of a is given by 


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