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The product of all values of t , for whi...

The product of all values of `t ,` for which the system of equations `(a-t)x+b y+c z=0,b x+(c-t)y+a z=0,c x+a y+(b-t)z=0` has non-trivial solution, is `|a-c-b-c b-a-b-a c|` (b) `|a b c b c a c a b|` `|a c bb a cc b a|` (d) `|a a+bb+c bb+cc+a cc+a a+b|`

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CENGAGE-DETERMINANTS-All Questions
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  2. Let alpha1,alpha2 and beta1, beta2 be the roots of the equation ax^2+b...

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

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

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

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

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

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

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

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

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

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

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

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  18. If f(x)=|cos (x+alpha) , cos (x+beta) , cos (x+gamma)],[ sin (x+alpha...

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  19. Let f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin 2 x],[ sin ^2 x ,1+cos ^2 x...

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  20. Given 2 x-y+2 z=1 , x-2 y+z=-4 , and x+y+lambda z =4. Then the. value ...

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