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Number Theory T...

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  • Question 1
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    How many two-digit prime numbers are there having the digit $$3$$ in their units place?

  • Question 2
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    Argument and modulus of $$\left[\dfrac {1+i}{1-i}\right]^{2013}$$ are respectively ____

  • Question 3
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     If $$z_1=\sqrt { 3 } -i,z_2=1+i\sqrt { 3 } ,$$ then amp$$(z_1+z_2)=$$ 

  • Question 4
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    If $$z=\dfrac {1+2i}{1-2i}$$  and.consider $$z=x+iy$$ then which of the following relationship is correct:

  • Question 5
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    Find the least positive value of n, if $$(\dfrac{1+i}{1-i})^n=1$$

  • Question 6
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    Inequality  $$a + i b > c + i d$$  can be explained only when :

  • Question 7
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    If $$z_1=3+4i\\z_2=4-5i$$ Then find $$z_1+z_2$$

  • Question 8
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    If $$z_1=3+4i,z_2=2-i$$ find $$z_2-z_1$$

  • Question 9
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    The complex numbers $$z_1=8+9i, z_2=4-6i$$ then $$z_1-z_2$$

  • Question 10
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    If $$z$$ is a complex number such that $$|z|=1$$, then $$\left|\dfrac 1{\bar z}\right|$$ is 

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