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If x , y , z are in A.P. , then the valu...

If `x , y , z` are in A.P. , then the value of the determinant are in A.P. , then the value of the determinant `|a+2a+3a+2x a+3a+4a+2y a+4a+5a+2z|` is a. 1 b. `0` c. `2a` d. `a`

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ALLEN-DETERMINANTS-All Questions
  1. If the determinant |a+p l+x u+fb+q x+y v+gc+r n+z w+h| splits into exa...

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  2. The values of lambda for which the system of euations x+y+z=6x+2y+3z=1...

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  3. If x , y , z are in A.P. , then the value of the determinant are in A....

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  4. Let p be the sum of all possible determinabnts of order 2 having 0,...

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  5. Find A for 2sinAcosA−cosA−2sinA+1=0 ;-

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  6. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  7. Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z ...

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  8. Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1...

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  9. If A is an invertble matrix of order 2 then (det A ^-1) is equal to...

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  10. Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1...

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  11. consider the following system of equation alphax+y+z=m x=alphay+z=...

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  12. Comprehension 2 Consider the system of linear equations alphax+y...

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  13. Comprehension 2 Consider the system of linear equations alphax+y...

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  14. For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz...

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  15. The system of equations x+2y+3z=4 , 2x+3y+4z=5, 3x+4y+5z=6 h...

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  16. Comprehension 3 x+y+3z=4 2x+p y+6z=8x+2y+q z=5 Values of p\ &\ q f...

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  17. Without expanding the determinant prove that: |(0, p-q, p-r), (q-p,0, ...

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  18. Evaluate ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ x y x+y ​ y x+y x ​ x+y x y ​ ...

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  19. Let delta=|A x x^2 1 B y y^2 1 C z z^2 1|a n d1=|A B C x y z y z z xx ...

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  20. Prove that: |1a a^2-b c1bb^2-c a1cc^2-a b|=0

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