2024-06-28 | Sum of squares of modulus of all the complex numbers z satisfying z¯=iz2+z2.... |
2024-06-28 | Let S=z∈C:|z-3|≤1 and z(4+3i)+z¯(4-3i)≤24. If&nb.... |
2024-06-28 | Let a circle C in complex plane pass through the pointsz1=3+4i,z2=4+3i andz3=5i. If z≠z1 .... |
2024-06-28 | Let S={z=x+iy:|z-1+i|≥|z|,|z|<2,|z+i|=|z-1|}. Then the set of all values o.... |
2024-06-28 | Let z1 and z2 be two complex numbers such that z¯1=iz¯2.... |
2024-06-28 | If z = x + iy satisfies |z| –2 = 0 and |z – i| – |z + 5i| = 0, then.... |
2024-06-28 | The number of points of intersection of |z-(4+3i)|=2 and |z|+|z-4|=6,z&isin.... |
2024-06-28 | For α,β,z∈C and λ>1, if λ-1 is t.... |
2024-06-28 | Let S=z∈C-{i,2i}:z2+8iz-15z2-3iz-2∈R. If α-1311i i∈S,&alpha.... |
2024-06-28 | Let A={z∈C:1<|z-(1+i)|<2} and B={z∈A:|z-(1-i)|=1}. Then,&nb.... |
2024-06-28 | Let z be a complex number such that z-2iz+i=2,z≠-i . Then z lies on the circle of radius 2 an.... |
2024-06-28 | If z is a complex number and the minimum value of |z|+ |z-1|+|2z-3| is λ and ify=2[x]+3=3[x.... |
2024-06-28 | If z1,z2,z3 be vertices of an isosceles Δ right angled at z.... |
2024-06-28 | A regular heptagon (seven sides) is inscribed in a circle of radius 1 . Let A1A2…A7.... |
2024-06-28 | Let z1,z2,…,zn be in G.P with first term as unity such that z1+z2+…+zn=0. No.... |
2024-06-28 | In an argand plane z1,z2 and z3 are respectively the vertices of an isosceles triang.... |
2024-06-28 | Suppose A,B,C are three collinear points corresponding complex numbers z1=ai,z2=12+bi,z3= 1+ci(a.... |
2024-06-28 | If zr(r=1,2,…6) are the vertices of a regular hexagon, if ∑r=16zr2=βz02, where z.... |
2024-06-28 | A regular heptagon (seven sides) is inscribed in a circle of radius 1 . Let A1A2…A7.... |
2024-06-28 | Suppose A,B,C are three collinear points corresponding complex numbers z1=ai,z2=12+bi,z3= 1+ci(a.... |
2024-06-28 | Suppose A,B,C are three collinear points corresponding complex numbers z1=ai,z2=12+bi,z3= 1+ci(a.... |