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If [[ x , 2 , x],[x^2 , x , 6],[x , x , ...

If `[[ x , 2 , x],[x^2 , x , 6],[x , x , 6 ]] =a x^4+b x^3+c x^2+d x+e`, then `5 a+4 b+3 c+2 d+e=`

A

0

B

`-16`

C

16

D

`-11`

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. Delta= [[ 1 / a , 1 , b c ],[1 / b , 1 , c a ],[1 / c , 1 , a b]] =

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  3. If [[ x , 2 , x],[x^2 , x , 6],[x , x , 6 ]] =a x^4+b x^3+c x^2+d x+e,...

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  4. If omega is an imaginary cube root of unity then the value of [[1+ome...

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  5. If alpha, beta, gamma are the roots of x^3+a x^2+b=0 then the value of...

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  6. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

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  7. The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

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  8. If [[ 2 x , 5],[ 8 , x ]] = [[6 , -2 ],[7 , 3 ]], then, x=

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  9. The number of distinct real roots of [[sin x , cos x , cos x ],[cos x ...

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  10. There are two values of a which makes determinant , A=|(1,-2,5),(2,a,-...

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  11. The value of determinant |(x,x+y,x+2y),(x+2y,x,x+y),(x+y,x+2y,x)| is

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  12. If x, y, z are all different and not equal to zero and |{:(1+x,,1,,...

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  13. If A = [ (2,lambda,-3),(0,2,5),(0,1,3)] , then A^(-1) exists if :

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  14. A root of the equation |(0, x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 is

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  15. The maximum value of Delta=|(1,1,1),(1,1+sintheta,1),(1+costheta,1,1)|...

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  16. Let f(t)=|(cost,t,1),(2sint,t,2r),(sint,t,t)| , then {:(lim),(t rarr0)...

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  17. If A,B and C are angles of a triangle, then the determinant : |(-1,c...

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  18. If A is a square matrix of order 3 xx 3, then |KA| is equal to

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  19. Which of the following is correct

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  20. If the area of the triangle with vertices (2,-6),(5,4) and (K,4) is 35...

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