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Solve the following : [[x+1,omega,omega^...

Solve the following : `[[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^2,1,x+omega]]`=0

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Evaluate the following determinants. [[1,omega,omega^2],[omega,omega^2,1],[omega^2,1,omega]]

if omega be the cube root of unit then what is the value of |[1,omega ,omega^2],[omega, omega^2,1],[omega^2,1,omega ]| ?

Fill in the blanks with appropriate answer from the bracket. [[1,omega,omega^2],[omega,omega^2,1],[omega^2,1,omega]] =_________

If omega is a complex cube root of 1,then for what value of. lamda the determinant |[1,omega,omega^(2)],[omega,lamda,1],[omega^(2),1,omega]|=0 ?

(1-omega +omega^2)(1+omega-omega^2)=4

Evaluate the following determinants. [[1,omega],[-omega,omega]]

IF omega is cube root of unity, then |{:(1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega):}| = ………. (1,0,omega, omega^2)

Evaluate |(1, omega, omega^(2)),(omega, omega^(2),1),(omega^(2),1,omega)| , where omega is a cube root of unity.

USHA PUBLICATION-PREVIOUS YEAR QUESTION 2019-PREVIOUS YEAR QUESTION
  1. Prove that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqr...

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  2. Construct the multiplication table X7 on the set {1, 2, 3, 4, 5, 6}. A...

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  3. Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...

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  4. A person takes 4 tests in succession. The probability of his passing t...

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  5. Find the probability distribution of number of heads in three tosses...

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  6. If A=[[1,2,0],[0,1,3],[-2,5,3]], then verify that A+A' is symmetric an...

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  7. If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0

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  8. Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.

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  9. Verify lagrange's Mean-Value theorem for F(x) = x^3 - 2x^2 - x + 3 o...

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  10. Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...

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  11. Find the intervals in which the function y=(lnx)/(x) is increasing and...

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  12. If y=e^(x^(e^(x^(e^x)))), then find dy/dx.

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  13. Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))

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  14. Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...

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  15. Find differential equation of the curve y=ae^(3x)+be^(5x).

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  16. Obtain the general solution of the following differential equations. (...

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  17. Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx

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  18. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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  19. Find the equation of a plane which is at a distance 3 units from the o...

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  20. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

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