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Column I, Column II The value of the ...

Column I, Column II The value of the determinant `|x+2x+3x+5x+4x+6x+9x+8x+11 x+15|` is, p. 1 If one of the roots of the equation `|7 6x^2-13 2x^2-13 2x^2-13 3 7|=0i sx+2,` then sum of all other five roots is, q. -6 The value of `|sqrt(6)2i3+sqrt(6)sqrt(12)sqrt(3)+sqrt(8)i3sqrt(2)+sqrt(6)isqrt(18)sqrt(2)+sqrt(12)isqrt(27)+2i|` is, r. 2 If `f(theta)=|cos^2thetacosthetas intheta-s inthetacosthetasin^2thetacosthetas intheta-costheta0|=t h e nf(pi//3)` , s. -2

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CENGAGE-DETERMINANTS-All Questions
  1. Let alpha,beta,gamma are the real roots of the equation x^3+a x^2+b x+...

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  2. If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|a1a2a3 4 5a6a7a8a9|...

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  3. Column I, Column II The value of the determinant |x+2x+3x+5x+4x+6x...

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  4. If a ,b ,and c are the sides of a triangles andA , B and C are the ang...

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

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  6. 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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  7. 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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  8. Absolute value of sum of roots of the equation |x+22x+3 3x+4 2x+3 3x+4...

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

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

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

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

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  13. 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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  14. 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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  15. the sum of values of p for which the equations x+y+z=1x+2y +4z=p...

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

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

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

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  20. 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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