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[" 3.Number of non-rero values of "alpha" which satisfy the equation "],[[|(1+a)^(2),(1+2 alpha)^(2),(1+3a)^(2)],[(2+a)^(2),(2+2a)^(2),(2+3 alpha)^(2)],[3+alpha)^(2),(3+2 alpha)^(2),(3+3 alpha)^(2)]|=-648 alpha?]

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Which of the following values of alpha satisfying the equation |{:((1+alpha)^2,(1+2alpha)^2,(1+3alpha)^2),((2+alpha)^2,(2+2alpha)^2,(2+3alpha)^2),((3+alpha)^2,(3+2alpha)^2,(3+3alpha)^2):}|=-648alpha?

|[(1+alpha)^(2),(1+2 alpha)^(2),(1+3 alpha)^(2)(2+alpha)^(2),(2+2 alpha)^(2),(2+3 alpha)^(2)(3+alpha)^(2),(3+2 alpha)^(2),(3+3 alpha)^(2) Find the value of alpha

Which of the following values of alpha satisfying the equation |(1+alpha)^2(1+2alpha)^2(1+3alpha)^2(2+alpha)^2(2+2alpha)^2(2+3alpha)^2(3+alpha)^2(3+2alpha)^2(3+3alpha)^2|=-648alpha? -4 b. 9 c. -9 d. 4

Which of the following values of alpha satisfying the equation |(1+alpha)^2(1+2alpha)^2(1+3alpha)^2(2+alpha)^2(2+2alpha)^2(2+3alpha)^2(3+alpha)^2(3+2alpha)^2(3+3alpha)^2|=-648alpha? -4 b. 9 c. -9 d. 4

Which of the following values of alpha satisfying the equation |(1+alpha)^2(1+2alpha)^2(1+3alpha)^2(2+alpha)^2(2+2alpha)^2(2+3alpha)^2(3+alpha)^2(3+2alpha)^2(3+3alpha)^2|=-648alpha? -4 b. 9 c. -9 d. 4

Which of the following values of alpha satisfying the equation |(1+alpha)^2(1+2alpha)^2(1+3alpha)^2(2+alpha)^2(2+2alpha)^2(2+3alpha)^2(3+alpha)^2(3+2alpha)^2(3+3alpha)^2|=-648alpha? -4 b. 9 c. -9 d. 4

Which of the following values of alpha satisfying the equation |(1+alpha)^2(1+2alpha)^2(1+3alpha)^2(2+alpha)^2(2+2alpha)^2(2+3alpha)^2(3+alpha)^2(3+2alpha)^2(3+3alpha)^2|=-648alpha? -4 b. 9 c. -9 d. 4

Prove that |{: (1,alpha,alpha^2), (alpha,alpha^2, 1),(alpha^2, 1,alpha) :}|=-(1-alpha^3)^2

If alpha is a root of the equation 4x^(2)+2x-1=0 then the other root is given by O -2 alpha-1 O 4 alpha^(2)+alpha-1 O 4 alpha^(3)-3 alpha O 4 alpha^(2)-3 alpha

The values of alpha ,for which [[1,(3)/(2),alpha+(3)/(2)],[1,(1)/(3),alpha+(1)/(3)],[2 alpha+3,3 alpha+1,0]]=0 ,lie in the interval