JEE Advanced questions
3844 published questions with worked solutions.
- The value of (1+i)^3 + (1-i)^6 is
- ^ -1 1i(z-1) , where z is nonreal, can be the angle of a triangle if
- If n is an odd integer, i= -1 , then (1+i)^ 6n + (1-i)^ 6n is equal to
- If z_1 = 9y^2 - 4 - 10ix, z_2 = 8y^2 - 20i, where z_1 = z_2, then z = x+iy is equal to
- If z = 1 + i , where < < 3 2 , then |z| is equal to
- If z is a complex number satisfying the relation |z+1| = z + 2(1+i) then z is
- If (1+i)z = (1-i) z then z is
- If z_1, z_2 are two nonzero complex numbers such that |z_1+z_2| = |z_1| + |z_2| then amp z_1 z_2 is equal to
- The complex number z is purely imaginary if
- If z = x+iy such that |z+1| = |z-1| and amp z-1 z+1 = 4 then
- Let z = + i - i , 4 < < 2. Then z is
- If z = 3 + i 3 - i then the fundamental amplitude of z is
- If 1+2i 2+i = r( + i ) then
- If z = x+iy satisfies amp (z-1) = amp (z+3i) then the value of (x-1):y is equal to
- Let z be a complex number of constant modulus such that z^2 is purely imaginary then the number of possible values of z is
- If is a nonreal cube root of unity then the expression (1- )(1- ^2)(1+ ^4)(1+ ^8) is equal to
- If 3^ 49 (x+iy) = ( 32 + 3 2 i )^ 100 and x = ky then k is
- If x^2 - x + 1 = 0 then the value of _ n=1 ^ 5 (x^n + 1 x^n )^2 is
- The smallest positive integral value of n for which (1+ 3 i)^ n/2 is real is
- If i= -1 , = nonreal cube root of unity then (1+i)^ 2n - (1-i)^ 2n (1+ ^4- ^2)(1- ^4+ ^2) is equal to