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If |a a x m m m b x b|=0,\ then x may b...

If `|a a x m m m b x b|=0,\ ` then `x` may be equal to- a.`a` b. `b` c.`a+b` d. `m`

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ALLEN-DETERMINANTS-All Questions
  1. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

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  2. If a^2+b^2+c^2=-2a n df(x)= |a+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

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  3. If |a a x m m m b x b|=0,\ then x may be equal to- a.a b. b c.a+b d. ...

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  4. The value of the determinant |alphabetalalphax nalphabetax| is indepen...

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

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

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

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

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

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  11. Without expanding the determinant prove that: |0b-c-b0a c-a0|=0

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

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  13. Prove that: |a^2+2a2a+1 1 2a+1a+2 1 3 3 1|=(a-1)^3 .

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  14. By using properties of determinants. Show that:|1+a^2-b^2 2a b-2b2a b1...

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  15. Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2)dot

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

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  17. a+b+c=0, solve for x : [[a-x,c,b],[c,b-x,a],[b,a,c-x]]=0

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  18. Prove that '[[b-c,c-a,a-b],[b'-c'],[c'-a'][a'-b'],[b"-c",c"-a",a"-b"]]...

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  19. If 3 digit numbers A28, 3B9 and 62C are divisible by a fixed constant ...

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  20. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

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