JEE Advanced questions
3844 published questions with worked solutions.
- If |z|= |z-1|,|z+1| then
- |z-4|<|z-2| represents the region given by
- If _ 1/2 |z|^2+2|z|+4 2|z|^2+1 <0 then the region traced by z is
- | z-1 z+1 |=1 represents
- The roots of the equation 1+z+z^3+z^4=0 are represented by the vertices of
- The angle that the vector representing the complex number 1 ( 3-i)^ 25 makes with the positive direction of the real axis is
- If P, P′ represent the complex number z_1 and its additive inverse respectively then the complex equation of the circle with PP′...
- If |z_1|=|z_2|=|z_3|=|z_4| then the points representing z_1,z_2,z_3,z_4 are
- Suppose z_1,z_2,z_3 are the vertices of an equilateral triangle inscribed in the circle |z|=2. If z_1=1+ 3 i and z_1,z_2,z_3 are...
- Suppose z_1,z_2,z_3 are the vertices of an equilateral triangle circumscribing the circle |z|=1. If z_1=1+ 3 i and z_1,z_2,z_3...
- If amp z-1 z+1 = 3 then z represents a point on
- If z is a complex number such that | z-3i z+3i |=1 then z lies on
- Let z_1 and z_2 be two nonreal complex cube roots of unity and |z-z_1|^2+|z-z_2|^2= be the equation of a circle with z_1,z_2 as...
- Let R . If the origin and the nonreal roots of 2z^2+2z+ =0 form the three vertices of an equilateral triangle in the Argand plane...
- The equation |z-i|+|z+i|=k, k>0, can represent an ellipse if k is
- The equation |z+i|-|z-i|=k represents a hyperbola if
- Let OP OQ=1 and let O, P, Q be three collinear points. If O and Q represent the complex numbers 0 and z then P represents
- Let z=1-t+i t^2+t+2 , where t is a real parameter. The locus of z in the Argand plane is
- The area of the triangle whose vertices are i, , , where i= -1 and , are the nonreal cube roots of unity, is
- The nonzero real value of x for which (1+ix)(1+2ix) 1-ix is purely real is