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Represent the complex number (2+6sqrt3i)...

Represent the complex number `(2+6sqrt3i)/(5+sqrt3i)`in polar form.

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OSWAAL PUBLICATION-SAMPLE PAPER 8-EXERCISE
  1. Find the general solution of 2 cos^2 x+3sin x=0

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  2. Coefficient of variation of distribution are 70 and the standard devia...

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  3. Represent the complex number (2+6sqrt3i)/(5+sqrt3i)in polar form.

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  4. Evaluate :underset(x rarr 2)lim(x^3-3x^2+4)/(x^4-8x^2+16).

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  5. Find all pairs of consecutive odd positive integers,both of which are ...

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  6. Find the co-ordinate of a point equidistant from the four points O(0,0...

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  7. If a in N such that aN={ax:x in N}].Describe the set 3N nn 7N.

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  8. Prove that the points (2, -5) & (-2, 4) lie on the same side of the li...

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  9. A horse is tied to a post by arpose.If the horse moves along a circula...

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  10. In a class of 35 students ,24 like to play cricket and 16 like to play...

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  11. Let R be the relation over the set N xx N and is defined by (a,b)R(c,d...

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  12. Let R be the relation over the set N xx N and is defined by (a,b)R(c,d...

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  13. Let R be the relation over the set N xx N and is defined by (a,b)R(c,d...

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  14. Prove that :(cosx-cosy)^2+(sinx-siny)^2=4sin^2((x-y)/2).

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  15. Prove that:x^4+4=(x+1+i)(x+1-i)(x-1+i)(x-1-i)

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  16. How many words with or without meaning can be made from the letter of ...

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  17. How many words with or without meaning can be made from the letter of ...

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  18. How many words, with or without meaning can be made from the letters o...

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  19. If (z-1)/(z+1) is purely imaginary, then |z|=

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  20. Find the term independent of x in the expansion of (3x^2-1/(2x^3))^10.

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