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Given a=x//(y-z), b=y//(z-x),a n dc=z//(...

Given `a=x//(y-z), b=y//(z-x),a n dc=z//(x-y),w h e r ex , y , za n dz` are not all zero, then the value of `a b+b c+c a` is `0` b. `1` c.`-1""` d. none of these

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CENGAGE-DETERMINANTS-All Questions
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  2. Without expanding the determinants, prove that |103 115 114 111 108 10...

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  3. Given a=x//(y-z), b=y//(z-x),a n dc=z//(x-y),w h e r ex , y , za n dz ...

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  4. Find the value of determinant |(sqrt((13))+sqrt(3),2sqrt(5),sqrt(5))sq...

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  5. a ,b ,c are distinct real numbers not equal to one. If a x+y+z=0,x+b y...

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  6. Prove that the value of the determinant |-7 5+3i2/3-4i5-3i8 4+5i2/3+4i...

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  7. If the system of linear equation x+y+z=6,x+2y+3c=14 ,a n d2x+5y+lambda...

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  8. If ar=(cos2rpi+is in2rpi)^(1//9) , then prove that |a1a2a3a4a5a6a7a8a9...

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  9. Let f(x)=|2cos^2xsin2x-sinxsin2x2sin^2xcosxsinx-cosx0| . Then the val...

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  10. Using properties of determinants, prove that |(-a^2,ab,ac),(ba,-b^2,bc...

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  11. The number of positive integral solutions of the equation |(x^3+1,x^2y...

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  12. If the value of determinant |(a,1,1),(1,b,1)(1,1,c)| is positive , the...

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  13. By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,x...

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  14. Using properties of determinants, evaluate |18 40 89 40 89 198 89 198 ...

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  15. if A(1) ,B(1),C(1) ……. are respectively the cofactors of the elem...

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  16. Solve for x |x-2 2x-3 3xx-4x-4 2x-9 3x-16 x-8 2x-27 3x-64|=0.

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  17. If "Delta"1=|x bb a x b a a x|a n d"Delta"2=|x b a x| are the given de...

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  18. Without expanding evaluate the determinant |(sinalpha,cosalpha,sin(alp...

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  19. if y= sin mx, them the value of the determinant |{:(y,,y(1),,y(...

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  20. Find the value of the determinant |1 1 1 1 1 2 3 4 1 3 6 10 1 4 10 20|

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