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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
- If |z(1) + z(2)| = |z(1) - z(2)| then the difference in the arguments ...
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- The mod-amplitude form of (1 + 7i)/((2 - i)^(2)) is
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- The mod -amplitude form of 1+itan theta is
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- Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...
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- If (a(1) + ib(1)) (a(2) + ib(2)) … (a(n) + ib(n)) = A + iB then Tan^...
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- If z and omega are two non-zero complex numbers such that |zomega| =1...
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- If z is a complex number of unit modulus and argument theta then, arg ...
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- sqrt(4ab - 2i (a^(2) - b^(2) ) =
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- x + isqrt(x^(4) + x^(2) + 1)) =
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- If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =
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- (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...
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- If omega is a imaginary cube root of unity , then 225 + (3 omega + 8 o...
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- (1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + ...
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- If omega is a complex cube root of unity , then (x + 1) ( x + omega) (...
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- If 1 , omega , omega^(2) are the cube roots of unity , then (x + y + z...
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- 4 + 5 ( - (1)/(2) + (isqrt3)/(2))^(334) + 3 ( - (1)/(2) + (isqrt3)/(2)...
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- If a = cos "" (4pi)/(3) + isin "" (4pi)/(3) then ((1 + a)/(2))^(3n) =
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- If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)...
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- If x^(2) + x + 1 =0 , then the value of (x + (1)/(x))^(2) + (x^(2) + ...
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- If 1 , omega , omega^(2) are the cube roots of unity , then the roots...
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