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

2023 · 1 Feb · Shift 1 · Q28
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Complex Numbers
  5. /2023 · 1 Feb · Shift 1 · Q28

Complex Numbers question

2023 · 1 Feb · Shift 1 · Q28

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If the center and radius of the circle ∣z−2z−3∣=2\left| {{{z - 2} \over {z - 3}}} \right| = 2​z−3z−2​​=2 are respectively (α,β)(\alpha,\beta)(α,β) and γ\gammaγ, then 3(α+β+γ)3(\alpha+\beta+\gamma)3(α+β+γ) is equal to :
  1. A
    12
  2. B
    10
  3. C
    11
  4. D
    9
PreviousNext

More from Complex Numbers

  • Let a,b be two real numbers such that ab<0. IF the complex number b+i1+ai​ is of unit modulus and a+ib lies on the circle ∣z−1∣=∣2z∣, then a possible value of 4b1+[a]​, where [t] is greatest integer…2023 · MCQ
  • Let aeqb be two non-zero real numbers. Then the number of elements in the set X={z∈C:Re(az2+bz)=a and Re(bz2+az)=b} is equal…2023 · MCQ
  • For α,β,z∈C and λ>1, if λ−1​ is the radius of the circle ∣z−α∣2+∣z−β∣2=2λ, then ∣α−β∣ is equal to ​.2023 · Numerical
  • If for z=α+iβ,∣z+2∣=z+4(1+i), then α+β and αβ are the roots of the equation :2023 · MCQ
  • Let A={θ∈(0,2π):1−isinθ1+2isinθ​ is purely imaginary }. Then the sum of the elements in A is :2023 · MCQ
  • Let the complex number z=x+iy be such that 2z+i2z−3i​ is purely imaginary. If x+y2=0, then y4+y2−y is equal to :2023 · MCQ
  • Let S={z=x+iy:4z+2i2z−3i​isarealnumber}. Then which of the following is NOT correct?2023 · MCQ
  • Let w1​ be the point obtained by the rotation of z1​=5+4i about the origin through a right angle in the anticlockwise direction, and w2​ be the point obtained by the rotation of z2​=3+5i about the origin through a right…2023 · MCQ