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If plamda^(4)+qlamda^3+rlamda^2+slamda+t...

If `plamda^(4)+qlamda^3+rlamda^2+slamda+t =|(lamda^3+3lamda,lamda-1,lamda+3),(lamda+1,2-lamda,lamda-3),(lamda-3,lamda+4,3lamda)|` then t is equal to :

A

24

B

23

C

22

D

21

Text Solution

Verified by Experts

The correct Answer is:
D
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MODERN PUBLICATION-DETERMINANTS -Multiple Choice Questions - LEVEL - II
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  4. If plamda^(4)+qlamda^3+rlamda^2+slamda+t =|(lamda^3+3lamda,lamda-1,lam...

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

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  11. 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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  12. 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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  14. If the equation a (y+z) = x, b (z+x) =y and c (x+y) = z, where a ne -...

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

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  16. The value of theta lying in (0,pi/2) and satisfying : |(1 + sin^(2)th...

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  17. If a , b , c are unequal , what is the condition that value of the f...

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  18. If a^2+b^2+c^2=-2 and f(x)=|(1+a^2x,(1+b^2)x,(1+c^2)x),((1+a^2)x,1+b^2...

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  19. The system of equations : ax-y-z=alpha-1 x-ay-z=alpha-1 x-y-alph...

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  20. Let a, b, c be such that b(a+c) ne 0. If |[a,a+1,a-1],[-b,b+1,b-1],[c...

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