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Let f(x) = |{:(secx,cosx,sec^(2)x+cotx c...

Let f(x) = `|{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cosec^(2)x),(1,cos^(2)x,cos^(2)x):}|` then find the value of `f_(0)^(pi//2)` f(x) dx.

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f(x)=|(secx,cos x,sec^2x + cot x cosecx),(cos^2x,cos^2x,cosec^2 x),(1,cos^2x,cos^2x)| then int_0^(pi/2) f(x) dx=.....

Let f(x)=det[[sec^(2)x,1,1cos^(2)x,cos^(2)x,cos ec^(2)x1,cos^(2)x,cot^(2)x]], then

Let f(x)=|sec x cos x sec^(2)x+cot x cos ecx cos^(2)x cos^(2)x cos ec^(2)x1cos^(2)x cos^(2)x Prove that int_(0)^((pi)/(2))f(x)dx=-(pi)/(4)-(8)/(15)

Let f(x)= |{:(cosx,sinx,cosx),(cos2x,sin2x,2cos2x),(cos3x,sin3x,3cos3x):}| then find the value of f'((pi)/(2)) .

" Let " =|{:(cos x,,sin x,,cosx),( cos 2x,,sin 2x,,2cos 2x),(cos 3x,,sin 3x,,3cos 3x):}| then find the values of f(0) and f' (pi//2) .

"Let f(x) "=|{:(cos x" " sin x" " cos x),(cos 2x" "sin 2x" "2cos 2x),(cos 3x" "sin 3x" "3cos 3x):}|" Then find the vlue of "f'(0) and f'(pi//2).

"Let f(x) "=|{:(cos x" " sin x" " cos x),(cos 2x" "sin 2x" "2cos 2x),(cos 3x" "sin 3x" "3cos 3x):}|" Then find the vlue of "f'(0) and f'(pi//2).

If f(x)=cos ec(x-(pi)/(3))cos ec(x-(pi)/(6)) then the value of int_(0)^((pi)/(2))f(x)dx is

f(x)=cos^(2)x+cos^(2)(pi/3+x)-cosx*cos(x+pi/3) is

ARIHANT MATHS-DETERMINANTS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cose...

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

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  3. The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 ...

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  4. If a1,a2,a3,.....an.... are in G.P. then the determinant Delta=|[logan...

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  5. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

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  6. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

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  7. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

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  8. Let a,b,c be such that b(a+c)ne 0. If |{:(,a,a+1,a-1),(,-b,b+1,b-1),(,...

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  9. If f(theta)=|{:(1,tantheta,1),(-tantheta,1,tantheta),(-1,-tantheta,1):...

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  10. The number of values of k which the linear equations 4x+ky+2z=0 kx...

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  11. If the trivial solution is the only solution of the system of equation...

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  12. The number of values of k, for which the system of equations (k""+"...

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  13. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

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  14. The set of the all values of lamda for which the system of linear equa...

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  15. Which of the following values of alpha satisfying the equation |(1+alp...

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  16. The system of linear equations x+lambday-z=0 lambdax-y-z=0 x+y-l...

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  17. The total number of distinct x in R for which |[x, x^2, 1+x^3] , [2x,...

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  18. Let a,lambda,mu in R, Consider the system of linear equations ax+2y=la...

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  19. If S is the set of distinct values of ' b for which the following syst...

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