JEE Advanced questions
3844 published questions with worked solutions.
- If z_1= 1 a+i , a 0 and z_2= 1 1+bi , b 0 such that z_1= z_2 then
- If z_1,z_2,z_3,z_4 are roots of the equation a_0z^4+a_1z^3+a_2z^2+a_3z+a_4=0, where a_0,a_1,a_2,a_3 and a_4 are real, then
- If is a complex constant such that z^2+z+ =0 has a real root then
- If amp (z_1z_2)=0 and |z_1|=|z_2|=1 then
- If z is a nonzero complex number then | | z|^2 z z | is equal to
- If is a nonreal cube root of unity then the value of 1 (2- )(2- ^2)+2 (3- )(3- ^2)+ +(n-1)(n- )(n- ^2) is
- The value of ^ -n + ^ -2n , n N and is a nonreal cube root of unity, is
- The value of ^ 4n-1 + ^ 4n-2 + ^ 4n-3 , n N and is a nonreal fourth root of unity, is
- Let x be a nonreal complex number satisfying (x-1)^3+8=0 then x is
- If z= 1+3i 1+i then
- If z is different from i and |z|=1 then z+i z-i is
- If z_1,z_2 are two complex numbers then
- Let z_1,z_2 be two complex numbers represented by points on the circle |z|=1 and |z|=2 respectively then
- ABCD is a square, vertices being taken in the anticlockwise sense. If A represents the complex number z and the intersection of...
- If z_1,z_2,z_3,z_4 are the four complex numbers represented by the vertices of a quadrilateral taken in order such that...
- If z_0,z_1 represent points P, Q on the locus |z-1|=1 and the line segment PQ subtends an angle /2 at the point z=1 then z_1 is...
- If |z_1|=|z_2|=|z_3|=1 and z_1,z_2,z_3 are represented by the vertices of an equilateral triangle then
- If amp z-2 2z+3i =0 and z_0=3+4i then
- If z_1 -z_2 and |z_1+z_2|= | 1 z_1 + 1 z_2 | then
- Let z_1= ( 3+i)^2 (1- 3i) 1+i , z_2= (1+ 3i)^2 ( 3-i) 1-i . Then