Home
Class 12
MATHS
Let C be the set of all complex numbers....

Let C be the set of all complex numbers. Let `S_(i) = `{z in C||z-3-2i|^(2)=8}, `S_(2)`= `{z in C||z-bar(z)| ge 8}` and `S_(3)`= `{z in C|Re (z) ge 5}`. Then the number of elements in `S_(1) nn S_(2) nn S_(3)` is equal to

A

1

B

0

C

2

D

Infinite

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-B)|40 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section A|40 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|30 Videos
  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos
  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

Let CC be the set of all complex numbers . Let S_(1) = { in CC : | z - 2| le 1} and S_(2) = { z in CC z (1 + i)+ bar(z) ( 1 - i) ge 4} Then, the maximum value of | z - (5)/( 2)| ^(2) " for " z in S_(1) cap S_(2) is equal to

Let S_(1), S_(2) and S_(3) be three sets defined as S_(1)={z in CC:|z-1| le sqrt(2)} S_(2)={z in CC : Re((1-i)z) ge1} S_(3)={z in CC : Im(z) le 1} Then the set S_(1)cap S_(2) cap S_(3)

If S_1={z:abs(z-3-2i)^2=8} , S_2={z:abs(z-barz)=8} and S_3={z:re(z) ge 5} then S_1capS_2capS_3 has

Let z in C, the set of complex numbers. Thenthe equation,2|z+3i|-|z-i|=0 represents :

Let S=S_(1)nn S_(2)nn S_(3), where s_(1)={z in C:|z| 0} and S_(3)={z in C:Re z>0

Let R be the relation defined on set of all complex numbers C as z_(1)Rz_(2) hArr |z_(1)|=|z_(2)| then 'R' is -

Let z be a complex number satisfying (3+2i) z +(5i-4) bar(z) =-11-7i .Then |z|^(2) is

Let A,B,C be three sets of complex numbers as defined below.A={z:|z+1| =1} and C={z:|(z-1)/(z+1)|>=1}

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-A)
  1. Let vec(a)= hat(i) +hat(j)+2hat(k) and vec(b)= -hat(i) +2hat(j) +3hat(...

    Text Solution

    |

  2. The value of the definite integral int(-(pi)/(4))^((pi)/(4)) (dx)/((1+...

    Text Solution

    |

  3. Let C be the set of all complex numbers. Let S(i) = {z in C||z-3-2i|^(...

    Text Solution

    |

  4. If the area of the bounded region R= {(x,y): "max" {0, log(e)x} le y l...

    Text Solution

    |

  5. A ray of light through (2,1) is reflected at a point P on the y-axis a...

    Text Solution

    |

  6. If the coefficients of x^(7) in (x^(2)+(1)/(bx))^(11) and x^(-7) in (x...

    Text Solution

    |

  7. The compound statement (P vv Q) ^^ (~P) rArr Q is equivalent to

    Text Solution

    |

  8. If sin theta+ cos theta= (1)/(2), then 16(sin (2theta)+ cos (4theta) +...

    Text Solution

    |

  9. Let A= [(1,2),(-1,4)]. If A^(-1)= alpha I +beta A, alpha, beta in R, I...

    Text Solution

    |

  10. Let f: (-(pi)/(4), (pi)/(4)) rarr R be defined as f(x)= {((1+|sin x|...

    Text Solution

    |

  11. Let y= y(x) be solution of the differential equation log(e)((dy)/(dx))...

    Text Solution

    |

  12. Let the plane passing through the point (-1,0,-2) and perpendicular to...

    Text Solution

    |

  13. Two tangents are drawn from the point P(-1,1) to the circle x^(2)+y^(2...

    Text Solution

    |

  14. Let f: R rarr R be a function such that f(2)=4 and f'(2)=1. Then, the ...

    Text Solution

    |

  15. Let P and Q be two distinct points on a circle which has center at C(2...

    Text Solution

    |

  16. Let alpha, beta be two roots of the equation x^(2)+(20)^(1//4)x+ (5)^(...

    Text Solution

    |

  17. The probability that a randomly selected 2-digit number belongs to the...

    Text Solution

    |

  18. Let A= {(x,y) in R xx R |2x^(2)+2y^(2)-2x-2y=1}, B= {(x,y) in R xx R|4...

    Text Solution

    |

  19. The point P (a,b) undergoes the following three transformations succes...

    Text Solution

    |

  20. A possible value of 'x', for which the ninth term in the expansion of ...

    Text Solution

    |