Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Complex Numbers question

2025 · 29 Jan · Shift 1 · Q37
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Complex Numbers
  5. /2025 · 29 Jan · Shift 1 · Q37

Complex Numbers question

2025 · 29 Jan · Shift 1 · Q37

JEE MainMathematicsComplex NumbersMCQ+4 / −1
Let ∣z1−8−2i∣≤1|z_1 − 8−2i| \leq 1∣z1​−8−2i∣≤1 and ∣z2−2+6i∣≤2|z_2−2+6i| \leq 2∣z2​−2+6i∣≤2, z1,z2∈Cz_1, z_2 \in \mathbb{C}z1​,z2​∈C. Then the minimum value of ∣z1−z2∣|z_1 − z_2|∣z1​−z2​∣ is :
  1. A
    3
  2. B
    10
  3. C
    7
  4. D
    13
PreviousNext

More from Complex Numbers

  • Let integers a,b∈[−3,3] be such that a+beq0. Then the number of all possible ordered pairs (a, b), for which ​z+bz−a​​=1 and ​z+1ωω2​ωz+ω21​ω21z+ω​​=1,z∈C…2025 · Numerical
  • Let S=∣z∈C:∣z−1∣=1 and (2​−1)(z+zˉ)−i(z−zˉ)=22​∣. Let z1​,z2​∈S be such that ∣z1​∣=z∈smax​∣z∣ and ∣z2​∣=z∈Smin​∣z∣…2024 · MCQ
  • Let P={z∈C:∣z+2−3i∣≤1} and Q={z∈C:z(1+i)+zˉ(1−i)≤−8}. Let in P∩Q, ∣z−3+2i∣ be maximum and minimum at z1​ and z2​…2024 · Numerical
  • If z is a complex number such that ∣z∣⩽1, then the minimum value of ​z+21​(3+4i)​ is :2024 · MCQ
  • Let α and β be the sum and the product of all the non-zero solutions of the equation (zˉ)2+∣z∣=0,z∈C. Then 4(α2+β2) is equal to :2024 · MCQ
  • The area (in sq. units) of the region S={z∈C:∣z−1∣≤2;(z+zˉ)+i(z−zˉ)≤2,lm(z)≥0} is2024 · MCQ
  • Consider the following two statements : Statement I: For any two non-zero complex numbers z1​,z2​,(∣z1​∣+∣z2​∣)​∣z1​∣z1​​+∣z2​∣z2​​​≤2(∣z1​∣+∣z2​∣), and …2024 · MCQ
  • Let S1​={z∈C:∣z∣≤5},S2​={z∈C:Im(1−3​iz+1−3​i​)≥0} and S3​={z∈C:Re(z)≥0}. Then the area of the…2024 · MCQ