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NAGEEN PRAKASHAN-COMPLEX NUMBERS AND QUADRATIC EQUATION -EXERCISE 5C
- Convert the following into polar form : (i) -1+isqrt(3) (ii) 1-i ...
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- Find the modulus and argument of the following : (i) -sqrt (3)+i (...
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- Find the polar form of conjugate of (1-i).
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- If z = x+iy is any complex number and |z-1| = |z+1| then show that |z|...
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- Prove that |z1+z2|^2=|z1|^2, ifz1//z2 is purely imaginary.
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- Find the modulus of (1+i)/(1-i)-(1-i)/(1+i).
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- Convert the complex number (-16)/(1+isqrt(3))into polar form.
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- If for the complex numbers z1 and z2, |z1+z2|=|z1-z2|, then Arg(z1)-...
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- Prove that the points, represented by complex numbers (5+8i),(13+20i)...
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- Find the area and nature of the triangle formed by the points represen...
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- If z=x+ iy such that the argument of (z-1)/(z+1) is always pi/4. Pro...
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- Find the number of non-zero integral solutions of the equation |1-i|^...
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- If |z-2|=2|z-1|, then show that |z|^(2)=(4)/(3)Re(z).
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- For any two complex number z1a n d\ z2 prove that: |z1+z2|lt=|z1|+|z2|
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