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If Delta=|{:(1,sintheta,1),(-sintheta,1,...

If `Delta=|{:(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1):}|"prove that" 2lt=Deltalt=4.`

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Let A=|(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)|, where 0lt=thetalt=2pidot Then D e t(A)=0 (b) D e t(A) in (2,oo) D e t(A) in (2,4) (d) D e t(A) in [2,4]

Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where 0lt=thetalt=2pi . Then

Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where 0lt=thetalt=2pidot Then

If A = [(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1)] , then for all thetain ((3pi)/(4),(5pi)/(4)) , det. (A) lies in the interval

Prove: (costheta)/(1-sintheta)=(1+sintheta)/(costheta)

Let A=|[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]|, where 0lt=thetalt=2pidot Then (a) D e t(A)=0 (b) D e t(A) in (2,oo) (c) D e t(A) in (2,4) (d) D e t(A) in [2,4]

Let A=[(1, sintheta, 1),(-sintheta, 1, sintheta),(-1, -sintheta, 1)], thetaepsilon((3pi)/4, (5pi)/4), then |A| lies in (A) [1/2,3) (B) [1,4) (C) [-1,2] (D) none of these

Evaluate Delta=|{:(sintheta, costheta),(-costheta,sintheta):}|

Prove: (costheta)/(1+sintheta)=(1-sintheta)/(costheta)

Let A=[[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]] , where 0lt=thetalt=2pi . Then (A) D e t(A) = 0 (B) D e t(A) in (2,oo) (C) D e t(A) in (2, 4) (D) D e t (A) in [2, 4]

ARIHANT MATHS ENGLISH-DETERMINANTS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If Delta=|{:(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1):}|"...

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  2. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

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  3. The value of |alpha| for which the system of equation alphax+y+z=alpha...

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  4. if a(1),a(2),…….a(n),……. form a G.P. and a(1) gt 0 , for all I ge 1 ...

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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 for which the linear equations 4x+ky+2...

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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 , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

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  14. The set of all values of lambda for which the system of linear equ...

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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-lam...

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  17. The total number of distinct x in R for which |{:(x,,x^(2),,...

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  18. Let alpha, lambda , mu in R.Consider the system of linear equations ...

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

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