Mathematics questions
18011 published questions with worked solutions.
- The complex number z satisfies the condition |z- 25 z |=24. The maximum distance from the origin of coordinates to the point z is
- The number of non-zero integral solutions of the equation |1-i|^x=2^x is
- If |z+4| 3, then the greatest and the least value of |z+1| are
- Let a be a complex number such that |a|<1 and z_1,z_2, be vertices of a polygon such that z_k=1+a+a^2+ +a^ k-1 . Then the...
- If _ 3 ( |z|^2-|z|+1 2+|z| )<2, then the locus of z is
- Common roots of the equations z^3+2z^2+2z+1=0 and z^ 1985 +z^ 100 +1=0 are
- The equation z^5+z^4+z^3+z^2+z+1=0 is satisfied by
- Let z_1 and z_2 be two complex numbers with and as their principle arguments such that + > , then principal (z_1z_2) is given by
- If |z-2|= |z-1|,|z-5| , where z is a complex number, then
- Let z_1,z_2,z_3 be the affixes of the vertices of a triangle having the circumcentre at the origin. If z is the affix of it's...
- If | z-2 z+2 |= 6, then the locus of z is
- Locus of z, if ( z-1 z+1 )= 2, is
- If iz^3+z^2-z+i=0, then |z| is equal to
- The value of i (x-i)+i^2 +i^3 (x+i)+i^4 (2 ^ -1 x ), (where x>0 and i= -1 ), is
- The region of the complex plane for which | z-a z+ a |=1 [ Re (a) 0], is
- If 1 is any nth root of unity, then S=1+3 +5 ^2+ upon n terms, is equal to
- The maximum value of |z| where z satisfies the condition |z+ 2z |=2, is
- The value of i is
- 3+2i 1-2i will be real, if is
- For positive integers n_1,n_2 the value of the expression (1+i)^ n_1 + (1+i^3 )^ n_1 + (1+i^5 )^ n_2 + (1+i^7 )^ n_2 , i= -1 is a...