Mathematics questions
18011 published questions with worked solutions.
- For two complex numbers z_1,z_2 the relation |z_1+z_2|=|z_1|+|z_2| holds, if
- The locus of z satisfying the inequality | z+2i 2z+i |<1 where z=x+iy, is
- If (z)= then ( z) is equal to
- If the amplitude of z-2-3i is 4, then the locus of z=x+iy, is
- The number of solutions for the equations |z-1|=|z-2|=|z-i| is
- If a= 1-i 3 2, then the correct matching of list I from list II is. List I: (A) a a, (B) ( 1a ), (C) a- a, (D) Im ( 4 3a ). List...
- The amplitude of 5+i (1- 5 ) is
- The magnitude and amplitude of (1+i 3)(2+2i) ( 3-i) are respectively
- If z_1= 2 ( 4+i 4 ) and z_2= 3 ( 3+i 3 ), then |z_1z_2| is
- If | z-25 z-1 |=5, find the value of |z|
- A and B are two points on the Argand plane such that the segment AB is bisected at the point (0,0). If the point A, which is in...
- If (3+i)(z+ z)-(2+i)(z- z)+14i=0, then z z is equal to
- If z-1 z+1 is purely imaginary number (z -1), then |z| is equal to
- The complex numbers z having positive argument and satisfying |2-3i|<|z|, is
- If z_1,z_2 are any two complex numbers, then
- If z_1,z_2 are two complex numbers satisfying | z_1-3z_2 3-z_1 z_2 |=1, |z_1| 3, then |z_2| is equal to
- If |z|=1 and w= z-1 z+1 (where z -1), then Re (w) is
- If n is a positive integer, then (1+i)^n+(1-i)^n is equal to
- The value of ( 20^ +i 20^ ) ( 75^ +i 75^ ) ( 10^ +i 10^ ) 15^ -i 15^ is
- The product of all values of ( +i )^ 3/5 is