Complex Numbers questions
967 published questions with worked solutions.
- If the complex numbers z_1,z_2,z_3 satisfying z_1-z_3 z_2-z_3 = 1-i 3 2, then triangle is
- If (z-a)= 4, where a R, then the locus of z C is
- If |z^2-1 |=|z|^2+1, then z lies on
- If |z+8|+|z-8|=16, where z is a complex number, then the point z will lie on
- If and are the roots of the equation x^2-x+1=0 then ^ 2009 + ^ 2009 is equal to
- Let and be the roots of x^2-2x +1=0. Then the equation whose roots are ^n, ^n is
- If and ^2 are the two imaginary cube roots of unity, then the equation whose roots are a ^ 317 and a ^ 382 , is
- If and are imaginary cube roots of unity, then ^4+ ^4+ 1 is equal to
- Let , ^2 be the roots of x^2+x+1=0, then the equation whose roots are ^ 31 , ^ 62 is
- If , be the roots of the quadratic equation x^2+x+1=0, then the equation whose roots are ^ 19 , ^7 is
- If the cube root of unity are 1, , ^2, then the roots of the equation (x-1)^3+8=0, are
- If the cube roots of unity are 1, , ^2, then the roots of the equation (x-2)^3+27=0 are
- If is a cube root of unit and is not real, then ^ 3n+1 + ^ 3n+3 + ^ 3n+5 has the value
- Statement 1: If |z_1|=1, |z_2|=2, |z_3|=3 and |z_1+2z_2+3z_3|=6, then value of |z_2z_3+8z_3z_1+27z_1z_2| is 36 Statement 2:...
- The complex numbers z_1,z_2,z_3 are the vertices of a triangle. Then the complex number z which makes the triangle into a...
- The trigonometric form of z=(1-i 8)^3 (where i= -1 ) is
- If z be the conjugate of the complex number z, then which of the following relations is false?
- If a= 4 3+i 4 3, then the value of ( 1+a 2 )^ 3n is
- The complex numbers x+i 2x and x-i 2x are conjugate to each other for
- The least positive integer n for which ( 1+i 1-i )^n is real, is
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