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The values of ‘’ for which the system of equations , is consistent are given by
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a
1, -2
b
-1, 2
c
1, 2
d
-1, -2
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Correct option is C
x+y+z=1----(1)x+2y+4z=α-----(2)x+4y+10z=α2-----(3)(2)−(1)⇒ y+3z=α−1(3)−(1)⇒ 3y+9z=α2−1⇒3(α-1)=α2-1⇒α2-3α+2=0⇒(α-1)(α-2)=0α=1,2Similar Questions
If the system of equations , is consistent, then value of a is given by
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