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if and are the rots of then for in R,
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a
yy2−1
b
yy2−3
c
y3−1
d
y3
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Correct option is D
Since α,β are roots of x2+x+1=0, we have α+β=-1 and αβ=1 Now y+1αβαy+β1β1y+α R1→R1+R2+R3 =y+1+α+Β111αy+Β1Β1y+α taking y+1+α+β common from R1 =yy2+(α+B)y+αB-1-αy+α2-B+1α-By-B2=yy2-y+1-1-αy-α2+B+α-By-B2∣=yy2-y-y(α+B)+(α+B)-α2+B2=yy2=y3Similar Questions
If [ ] denotes the greatest integer less than or equal to the real number under consideration, and ,, then the value of the determinant is
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