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

2022 · 29 Jun · Shift 1 · Q26
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Complex Numbers
  5. /2022 · 29 Jun · Shift 1 · Q26

Complex Numbers question

2022 · 29 Jun · Shift 1 · Q26

JEE MainMathematicsComplex NumbersMCQ+4 / −1
Let α\alphaα and β\betaβ be the roots of the equation x2 + (2i −-− 1) = 0. Then, the value of |α\alphaα 8 + β\betaβ 8| is equal to :
  1. A
    50
  2. B
    250
  3. C
    1250
  4. D
    1500
PreviousNext

More from Complex Numbers

  • Let S={z∈C:∣z−2∣≤1,z(1+i)+z(1−i)≤2}. Let ∣z−4i∣ attains minimum and maximum values, respectively, at z1 ∈ S and z2 ∈ S. If 5(∣z1​∣2+∣z2​∣2)=α+β5​,…2022 · Numerical
  • Let arg(z) represent the principal argument of the complex number z. Then, |z| = 3 and arg(z − 1) − arg(z + 1) =4π​ intersect :2022 · MCQ
  • The real part of the complex number (3+2i).(4−6i)​(1+2i)8.(1−2i)2​ is equal to :2022 · MCQ
  • If for the complex numbers z satisfying | z − 2 − 2i |≤ 1, the maximum value of | 3iz + 6 | is attained at a + ib, then a + b is equal to ​.2021 · Numerical
  • Let a complex number z, |z| e 1, satisfy log2​1​​((∣z∣−1)2∣z∣+11​)≤2. Then, the largest value of |z| is equal to ​.2021 · MCQ
  • Let z and ω be two complex numbers such that ω=zz−2z+2,​z−3iz+i​​=1 and Re(ω) has minimum value. Then, the minimum value of n ∈ N for which ω n is real, is…2021 · Numerical
  • The least value of |z| where z is complex number which satisfies the inequality exp(∣∣z∣+1∣(∣z∣+3)(∣z∣−1)​loge​2)≥log2​​∣57​+9i∣,i=−1​, is equal to :2021 · MCQ
  • The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :2021 · MCQ