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The least value of n satisfying [sqrt3/2...

The least value of n satisfying `[sqrt3/2+i/2]^(n)=1` is

A

30

B

24

C

12

D

18

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SURA PUBLICATION-MODAL QUESTION PAPER-PART - IV
  1. The least value of n satisfying [sqrt3/2+i/2]^(n)=1 is

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  2. Solve : 6x^(4)-35x^(3)+62x^(2)-35x+6=0

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  3. Find the value of k for which the equations kx-2y+z=1, x-2ky+z=-2,x-2y...

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  4. Suppose z(1),z(2)andz(3) are the vertices of an equilateral triangle i...

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  5. If z = x + iy and arg((z - i)/(z + 2))= (pi)/(4). Show that x^(2) + y^...

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  6. If 2+iand3-sqrt2 are the roots of the equation x^(6)-13x^(5)+62x^(4)-1...

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  7. Find the value of tan^(-1)(-1)+cos^(-1)(1/2)+sin^(-1)((-1)/2)

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  8. If cot^(-1)((1)/(7))=theta, find the value of costheta.

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  9. For the ellipse 4x^(2)+y^(2)+24x-2y+21=0, find the centre, vertices, a...

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  10. Find the number of solution of the eqution tan^(-1)(x-1)+tan^(-1)x+tan...

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  11. Find the parametric form vector eqution and Cartesian equations of the...

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  12. Prove by vector method that the perpendiculars (altitudes) from the ve...

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  13. If a tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 makes intercepts...

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  14. Solve the following systems of linear equation by Cramer's rule: 3x...

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  15. Test for consistency and if possible solve the following system of equ...

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  16. If z = x + iy and arg ((z-1)/(z+1))=pi/2, show that x^(2)+y^(2)-1=0.

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  17. Sketch the graph of sinx in [-pi/2,pi/2]andsin^(-1) in [-1, 1].

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  18. Find the equation of the ellipse whose eccentricity is 1/2, one of the...

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  19. A tunnel through a mountain for a four lane highway is to have a ell...

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  20. By vector method, Prove that sin(alpha-beta)=sinalphacosbeta-cosalphas...

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  21. Find the Vector and Cartesian equation of the plane containing the lin...

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