JEE Main questions
34495 published questions with worked solutions.
- The point of intersection of the curves (z-3i)= 3 4 and (2z+1-2i)= 4 (where i= -1 ) is
- Given z= q+ir 1+p , then p+iq 1+r = 1+iz 1-iz if
- If is a complex cube root of unity, then for positive integral value of n, the product of ^2 ^3 ^n will be
- Statement 1: If (1-i)=a+ib, where a,b R and i= -1 , then a= 12 (e+ 1e ) 1, b= 12 (e- 1e ) 1 Statement 2: e^ i = +i
- If |a_k|<1, _k 0 for k=1,2, ,n and _1+ _2+ + _n=1, then the value of | _1a_1+ _2a_2+ + _na_n| is
- The value of _ k=1 ^6 ( 2 k 7-i 2 k 7 ) is
- The locus of z satisfying the inequality _ 1/3 |z+1|> _ 1/3 |z-1| is
- If x= ( 1+i 2 ), (where i= -1 ), then the expression 2x^4-2x^2+x+3 equals
- If the points z_1,z_2,z_3 are the vertices of an equilateral triangle in the complex plane, then the value of z_1^2+z_2^2+z_3^2...
- If z^2+z|z|+|z|^2=0, then the locus of z is
- Given that the equation z^2+(p+iq)z+r+is=0, where p,q,r,s are real and non-zero has real roots, then
- If z_1 and z_2 be complex numbers such that z_1 z_2 and |z_1|=|z_2|. If z_1 has positive real part and z_2 has negative imaginary...
- If ( 1) is a cube root of unity and (1+ )^7=A+B , then A and B are respectively
- If ( +i )( 2 +i 2 ) ( n +i n )=1, then the value of is
- If z_1,z_2,z_3 be three complex numbers such that |z_1+1| 1, |z_2+2| 2 and |z_3+4| 4, then the maximum value of |z_1|+|z_2|+|z_3|...
- The real part of (1- +2i )^ -1 is
- If 1, , ^2 are the cube roots of unity, then = vmatrix 1& ^n& ^ 2n ^n& ^ 2n &1 ^ 2n &1& ^n vmatrix is equal to
- The closest distance of the origin from a curve given as a z+ az+|a|^2=0 is
- For all x', x^2+2ax+(10-3a)>0, then the interval in which a' lies, is
- Statement 1: The greatest integral value of for which (2 -1)x^2-4x+(2 -1)=0 has real roots, is 2. Statement 2: For real roots of...