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For determinant |((a^2+b^2)/c,c,c),(a,(...

For determinant `|((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(c^2+a^2)/b)|=alpha abc,` then the value of `alpha` is -

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ALLEN-DETERMINANTS-All Questions
  1. For positive numbers x ,\ y\ a n d\ z the numerical value of the deter...

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  2. If a, b,c> 0 and x,y,z in RR then the determinant |((a^x+a^-x)^2,(a...

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  3. For determinant |((a^2+b^2)/c,c,c),(a,(b^2+c^2)/a,a),(b,b,(c^2+a^2)/b...

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  4. The equation |{:((1+x)^(2),(1-x)^(2),-(2+x^(2))),(2x+1,3x,1-5x),(x+1,2...

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  5. Let a determinant is given by A=|[a,b,c],[p,q,r],[x,y,z]| and suppose ...

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  6. If a!=b!=c\ a n d\ |{:(a, b, c), (a^2,b^2,c^2), (b+c, c+a, a+b):}|=0 t...

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  7. Without expanding show that |b^2c^2 bc b+cc^2a^2 ca c+a a^2b^2a b a+...

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  8. If f(x)=|(1, x, x+1), (2x, x(x-1), (x+1)x), (3x(x-1), x(x-1)(x-2), (x+...

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  9. The value of the determinant |{:(a, b,0), (0,a, b),(b,0,a):}| is equal...

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  10. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

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  11. If the system of equations x + 2y + 3z = 4, x+ py+ 2z = 3, x+ 4y +u z ...

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  12. The maximum value of Δ= ∣ ∣ ∣ ​ 1 1 1+cosθ ​ 1 1+sinθ 1 ​ 1...

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  13. If f^(prime)(x)=|[mx, mx-p, m x+p], [n, n+p, n-p], [mx+2n, m x+2n+p, m...

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  14. The determinant |a b aalpha+bb c balpha+c aalpha+bbalpha+c0|=0, if a ...

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  15. Let f(x)=|1+sin^2x cos^2x4s in2xsin^2\ \ x1+cos^2x4s in2xsin^2xcos^...

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  16. The parameter on which the value of the determinant |[1,a...

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  17. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

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  18. Given that q^2-p r ,0,\ p >0, then the value of |p q p x+q y q r...

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  19. The values of θ lying between 0 and π/2 and satisfying the equation ...

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  20. If |(a, a, x,),(m, m, m),(b, x, b)|=0 then x may be equal to- a.a b. ...

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