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Solve for x in R : |((x+a)(x-a),(x+b)(x...

Solve for `x in R` : `|((x+a)(x-a),(x+b)(x-b),(x+c)(x-c)),((x-a)^3,(x-b)^3,(x-c)^3),((x+a)^3,(x+b)^3,(x+c)^3)|` =0, a,b and c being distinct real numbers.

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CENGAGE-DETERMINANTS-All Questions
  1. If f(x) is a polynomial of degree <3, prove that |1af(a)//(x-a)1bf(b)/...

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  2. Prove that =|a c c-a +b c b b-c b+c a-b b-c 0 a-c x y z 1+x+y|=0 impli...

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  3. Solve for x in R : |((x+a)(x-a),(x+b)(x-b),(x+c)(x-c)),((x-a)^3,(x-b)...

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  4. Absolute value of sum of roots of the equation |x+22x+3 3x+4 2x+3 3x+4...

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  5. Let alpha1,alpha2 and beta1, beta2 be the roots of the equation ax^2+b...

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  6. The product of all values of t , for which the system of equations (a-...

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  7. Prove that for any A.P. a1, a2, a3, , then determinant |ap+a(p+m)+a(p...

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  8. Let omega=-1/2+i(sqrt(3))/2, then value of the determinant [[1, 1, 1]...

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  9. If =|-x a bb-x a a b-x| , then a factor is a+b+x x^2-(a-b)+x+a^2+b...

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  10. If g(x)=|a^(-x)e^(x loge a)x^2a^(-3x)e^(3x loge a)x^4a^(-5x)e^(5x loge...

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  11. the sum of values of p for which the equations x+y+z=1x+2y +4z=p...

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  12. The value of |alpha| for which the system of equation alphax+y+z=...

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  13. Let D1=|a b a+b c d c+d a b a-b|a n dD2=|a c a+c b d b+d a c a+b+c| th...

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  14. If |xx+y x+y+z2x3x+2y4x+3y+2z3x6x+3y 10 x+6y+3z|=64 , then the real va...

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  15. If =|1 3costheta1s intheta1 3costheta1s intheta1| , then the value of ...

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  16. If |x^n x^(n+2)x^(n+4)y^n y^(n+2)y^(n+4)z^n z^(n+2)z^(n+4)|=(1/(y^2)-1...

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  17. The value of |2x1y1x1y2+x2y1x1y3+x3y1x1y2+x2y1 2x2y2x2y3+x3y2x1y3+x3y1...

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  18. Given A=|a b2c d e2fl m2n|,B=|f2d e2n4l2m c2a b| , then the value of B...

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  19. Number of real roots of the equation[[1, x, x], [ x, 1, x],[ x, ...

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  20. If |[sqrt(3) x-x^2, x-1 , x-sqrt3], [sqrt3 x , x , sqrt3-1] ,[x-1, ...

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