JEE Main questions
34495 published questions with worked solutions.
- 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...
- Let z be a complex number satisfying |z-5i| 1 such that amp (z) is minimum. Then z is equal to
- The value of sum _ n=1 ^ 13 (i^n+i^ n+1 ), where i= -1 , equals
- If z is a complex number, then the minimum value of |z|+|z-1| is
- If is a complex root of the equation z^3=1, then + ^ ( 12+ 38+ 9 32 + 27 128 + ) is equal to
- If is a complex cube root of unity, then value of vmatrix x+1& & ^2 &x+ ^2&1 ^2&1&x+ vmatrix is
- If the area of the triangle on the complex plane formed by the points z, z+iz, and iz is 200, then the value of |3z| must be...
- Statement 1: If | zz_1-z_2 zz_1+z_2 |=k, (z_1,z_2 0), then the locus of z is circle Statement 2: As | z-z_1 z-z_2 |= represents a...
- Re (z^2 )=1 is represented by
- If z z=0, iff
- The locus of the point z which satisfy the condition ( z-1 z+1 )= 3, is
- If |z_1|=|z_2|= =|z_n|=1, then the value of |z_1+z_2+z_3+ +z_n| is
- If complex numbers z_1,z_2 and z_3 represent the vertices A,B and C respectively of an isosceles triangle ABC of which C is right...
- -1- -1- -1- is equal to
- The imaginary part of (z-1)( -i )+(z-1)^ -1 ( +i ) zero, if
- ( z) is equal to