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If f(x)=|(2cosx,1,0),(x-pi//2,2cosx,1),(...

If `f(x)=|(2cosx,1,0),(x-pi//2,2cosx,1),(0,1,2cosx)|` then `(df)/(dx)` at `x=(pi)/2` is

A

0

B

2

C

`pi//2`

D

`pi-6`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-MATRICES -DETERMINANTS- EXERCISE - II
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  3. A=[(1, cos (beta-alpha),cos(gamma-alpha)),(cos (alpha-beta), 1, cos(ga...

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  4. If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(...

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  5. If a!=p,b!=q,c!=r and |(p,b,c),(a,q,c),(a,b,r)|=0 then the value of P/...

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  6. If A is a 3xx3 matrix and det(3A)=k(detA) then k=

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  7. A and B be 3xx3 martrices. Then AB=0 implies

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  8. If x,y,z are in A.P. then the value of |{:(a+2,a+3,a+3x),(a+3,a+4,a+2y...

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  9. |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(2))|=0,x!=y!=zimpli...

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  10. If f(x)=|(2cosx,1,0),(x-pi//2,2cosx,1),(0,1,2cosx)| then (df)/(dx) at ...

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  11. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|, Delta(2)=|(x,b),(a,x)| then

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  12. Statment - I : |{:(0,ab^(2),ac^(2)),(a^(2)b,0,bc^(2)),(a^(2)c,b^(2)c,0...

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  13. Arrange the following matrices in ascending order of their determinant...

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  14. Match the following from List - I to List - II {:("List-I","List-II"...

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  15. Assertion (A) : |{:(0,p-e,e-r),(e-p,0,r-p),(r-e,p-r,0):}|=0 Reason ...

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  16. |{:(2013^(2),2014^(2),2015^(2)),(2016^(2),2017^(2),2018^(2)),(2019^(2)...

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  17. If ainR then |{:(a^(2),(a+1)^(2),(a+2)^(2)),((a+1)^(2),(a+2)^(2),(a+3)...

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  18. |(b^(2)-ab,b-c,bc-ac),(ab-a^(2),a-b,b^(2)-ab),(bc-ac,c-a,ab-a^(2))|=

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  19. A(x)=|{:(1,2,3),(x+1,2x+1,3x+1),(x^(2)+1,2x^(2)+1,3x^(2)+1):}|rArrint(...

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  20. If a, b,c are distinct positive real numbers, then the vlaue of the de...

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