Complex Numbers questions
967 published questions with worked solutions.
- For all complex numbers z_1,z_2 satisfying |z_1|=12 and |z_2-3-4i|=5, the minimum value of |z_1-z_2| is
- Let z=x+iy be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the...
- Let z_1 and z_2 be the roots of the equation z^2+pz+q=0 where p,q are real. The points represented by z_1,z_2 and the origin form...
- If magnitude of a complex number 4-3i is tripled and is rotated anti-clockwise by an angle , then resulting complex number would...
- If | z+i z-i |= 3, then radius of the circle is
- If the area of triangle on the argand plane formed by the complex numbers -z, iz, z-iz is 600 sq. unit, then |z| is equal to
- If z_1,z_2 and z_3 are any three complex numbers, then the fourth vertex of the parallelogram whose three vertices are z_1,z_2...
- The equation of the locus of z such that | z-i z+i |=2, where z=x+iy is a complex number, is
- The set C= z:z z+a z+ az+b=0, b R and b<|a|^2 is
- The locus of the points z which satisfy the condition ( z-1 z+1 )= 3 is
- If the complex numbers z_1,z_2,z_3 are in AP, then they lie on
- Match the statements of Column I with those in Column II. Column I: (A) The set of points z satisfying |z-i|z| |= |z+i|z| | is...
- For three complex numbers 1-i,i,1+i which of the following is true?
- If z_1=1+2i, z_2=2+3i, z_3=3+4i, then z_1,z_2,z_3 represents the vertices of a/an
- If S= z C: ( z-2 z+2 )= 3 , then S is
- If P,Q,R,S are represented by the complex numbers 4+i, 1+6i, -4+3i, -1-2i respectively, then PQRS is a
- The points z_1,z_2,z_3,z_4 in the complex plane are the vertices of a parallelogram taken in order, iff
- The points represent the complex numbers z, for which |z-a|^2+|z+a|^2=b^2 lie on
- The points representing complex number z for which |z-3|=|z-5| lie on the locus given by
- The radius of the circle | z-i z+i |=5 is given by
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