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Delta1=|(x,b,a),(a,x,b),(a,a,x)|,Delta2=...

`Delta_1=|(x,b,a),(a,x,b),(a,a,x)|,Delta_2=|(x,b),(a,x)|` are the given determinants , then :

A

`Delta_1=3(Delta_2)^2`

B

`(d)/(dx)(Delta_1)=3Delta_2`

C

`d/(dx)(Delta_1)=3(Delta_2)^2`

D

`Delta_1=3Delta_2^(3//2)`

Text Solution

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The correct Answer is:
B
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MODERN PUBLICATION-DETERMINANTS -Multiple Choice Questions - LEVEL - II
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  2. If the system of equations x+ay+az=0 , bx+y+bz=0 , cx +cy +z=0 where a...

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  3. Delta1=|(x,b,a),(a,x,b),(a,a,x)|,Delta2=|(x,b),(a,x)| are the given d...

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  4. If p+q+r=a+b+c=0 , then the value of : |(pa,qb,rc),(qc,ra,pb),(rb,pc...

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  5. |(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)+b^(2),ab,a+b)|=

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  6. If one of the roots of the equation |(7,6,x),(2,x,2),(x,3,7)|=0 is : ...

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  7. If a,b,c gt 0 and x,y,z , in R then the determinant : |((a^x+a^(-x)...

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  8. If a^2+b^2+c^2=0 and |(b^2+c^2,ab,ac),(ab,c^2+a^2,bc),(ac,bc,a^2+b^2)|...

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  9. If plamda^(4)+qlamda^3+rlamda^2+slamda+t =|(lamda^3+3lamda,lamda-1,lam...

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  10. The value of the determinant : |(1,cos(beta-alpha),cos(gamma-alpha)),(...

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  11. The sum of two non - integral roots of |(x,2,5),(3,x,3),(5,4,x)|=0 is ...

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  12. If Delta1=|(1,1,1),(a,b,c),(a^2,b^2,c^2)|, Delta2=|(1,bc,a),(1,ca,b),(...

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  13. If alpha, beta are non - real numbers satisfying x^3-1=0, then the val...

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  14. The value of |(1,1,1),((2^x+2^(-x))^2,(3^x+3^(-x))^2,(5^x+5^(-x))^2),(...

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  15. The value of |(i^m,i^(m+1),i^(m+2)),(i^(m+5),i^(m+4),i^(m+3)),(i^(m+6)...

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  16. If Delta1=|(7,x,2),(-5,x+1,3),(4,x,7)|, Delta2=|(x,2,7),(x+1,3,-5),(x,...

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  17. Let |(1+x,x,x^2),(x,1+x,x^2),(x^2,x,1+x)|=ax^5+bx^4+cx^3+dx^2+ lamdax+...

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  18. If Delta(x)=|(1,cosx,1-cosx),(1+sinx,cosx,1+sinx-cosx),(sinx, sinx ,1)...

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  19. If the equation a (y+z) = x, b (z+x) =y and c (x+y) = z, where a ne -...

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  20. If p,q, in r and p^2+q^2-pq-q+1 le 0 + alpha + beta + gamma = 0 , the...

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