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If f(r)(x),g(r)(x),h(r)(x),r=1,2,3 are p...

If `f_(r)(x),g_(r)(x),h_(r)(x),r=1,2,3` are polynomials in x such that `f_(r)(a)=g_(r)(a)=h_(r)(a),r=1,2,3` and `F(x)=|(f_(1)(x),f_(2)(x),f_(3)(x)),(g_(1)(x),g_(2)(x),g_(3)(x)),(h_(x),h_(2)(x),h_(3)(x))|`, then `F'(x)` at `x=a` is

A

0

B

a

C

`-a`

D

none

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A
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DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
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  3. If |(lamda^(2)+3lamda, lamda-1, lamda+3),(lamda+1, 2-lamda,lamda-4),(l...

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

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  5. If f(r)(x),g(r)(x),h(r)(x),r=1,2,3 are polynomials in x such that f(r)...

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  6. If alpha be a repeated root of a quadratic equation f(x) = 0 and A(x)...

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  7. Let the three digit number A28, 3B9,62C, where A,B,C are integers betw...

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  8. If |[1+sin^(2)theta,cos^(2)theta,4sin4theta],[sin^(2)theta, 1+cos^(2)t...

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  9. With the usual notation in DeltaABC det|(1,1,1),(sinA,sinB,sinC),(sin^...

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  10. If A,B,C are the angles of a triangles then Delta=|(-1,cosC, cosB),(co...

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  11. If A+B+C=pi then the value of |(sin(A+B+C), sinB, cosC),(-sinB,0,tanA)...

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

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  13. f(x)=|(2 cosx, 1, 0),(x-(pi)/2, 2 cos x, 1),(0, 1, 2cosx)|impliesf'(pi...

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  14. If f(x)=|(x^(n),sinx,cosx),(n!,sin(npi//2),cos(npi//2)),(a,a^(2),a^(2)...

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  15. If f(x)=|(sec^(2)x,1,1),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cot...

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  16. If f(x)=|(secx, cosx, sec^(2)x+cot x cosecx),(cos^(2)x,cos^(2)x,cosec^...

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  17. If f(x)=|(cosx, x,1),(2sinx,x^(2),2x),(tanx,x,1)| then Lt(xto0)(f'(x))...

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  18. If f(x)=|{:(2cos^(2)x,sin2x,-sinx),(sin2x,2sin^(2)x,cosx),(sinx,-cosx,...

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  19. If f(x)=|(1+sin^(2)x,cos^(2)x,4sin2x),(sin^(2)x,1+cos^(2)x,4sin2x),(si...

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  20. If f(theta)=|(cos^(2) theta, cos theta sin theta, -sin theta),(cos the...

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