Home
Class 12
MATHS
If abs(z+1)=alphaZ+beta(1+i) then z=1/2-...

If `abs(z+1)=alphaZ+beta(1+i)` then `z=1/2-2i` then the value of `abs(alpha+beta)` is equal to, where `alpha,betainR`

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

Similar Questions

Explore conceptually related problems

If the coefficient of x^(14) in the expansion of (4x^(2)+x+1)^(8) is alpha xx4^(beta), then the value of (alpha+beta) is equal to (where alpha and beta are relatively prime to each other and beta>1)

If z^2+alphaz+beta has one root 1-2i , then find the value of alpha-beta (alpha,beta , in R)

If A=[(1,-alpha),(alpha,beta)] and A A^T=I .Then find the value of alpha and beta

If sin(alpha+beta)=1 and sin(alpha-beta)=(1)/(2), where 0<=,beta<=(pi)/(2) ,then find the values of tan(alpha+2 beta) and tan(2 alpha+beta)

If alpha and beta are the zeroes of x^2 - 8x + 1 , then the value of 1/alpha +1/beta - alpha beta is :

Let alpha,beta in R and (alpha-beta i )/(1+2i) =(-6-8i )/(5) . The value of (alpha+beta) is

If alpha, beta are zeroes of polynomial 6x^(2) +x-1 , then find the value of (i) alpha^(3) beta + alpha beta^(3) , (ii) alpha/beta + beta/alpha +2(1/alpha + 1/beta) + 3 alpha beta

If alpha,beta are the roots of equation x^(2)+x-1-0 ,then the value of (alpha beta^(4)(beta+1)^(4)+beta alpha^(4)(alpha+1)^(4))/(alpha^(2)+beta^(2)+alpha+beta) is equal to:

IF z(z in C) satisfy abs(z+5)le5 and z(1+i)+barz(1-i)ge-10 .If the maximum value of abs(z+1)^2 is alpha+sqrt2beta then find alpha+beta

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024-Questions
  1. If abs(z+1)=alphaZ+beta(1+i) then z=1/2-2i then the value of abs(alpha...

    Text Solution

    |

  2. If f(x)={(-2,,,-2,le,x, <,0),(x-2,,,0,le,x, le,2):} and h(x) = f(|x|) ...

    Text Solution

    |

  3. Let ABC be a triangle. If P1, P2, P3, P4, P5 are five points on side A...

    Text Solution

    |

  4. Let y(x) be a curve given by differential equation (dy)/(dx) - y = 1 +...

    Text Solution

    |

  5. Let there are 3 bags A, B and C. Bag contain 5 black balls and 7 red b...

    Text Solution

    |

  6. The number of rational terms in the expansion of (2^(1/2) + 3^(1/3))^(...

    Text Solution

    |

  7. 2 and 6 are roots of the equation ax^2 + bx + 1 = 0 then the quaratic ...

    Text Solution

    |

  8. Let f(x)={(frac{1-cos2x}{x^2},x, <,0),(alpha,x,=,0),(beta (frac{sqrt(1...

    Text Solution

    |

  9. One point of intersection of curve y = 1 + 3x - 2x^2 and y = 1/x is (...

    Text Solution

    |

  10. If alpha and beta are sum and product of non zero solution of the equa...

    Text Solution

    |

  11. If domain of the function f(x) = sin^(-1) (frac{3x - 22}{2x - 19}) + l...

    Text Solution

    |

  12. The value of lim(xrarr 4) frac{(5 + x)^(1/3) - (1 + 2x)^(1/3)}{(5 + x)...

    Text Solution

    |

  13. If the function f(x) ={(1/|x|,|x|,ge,2),(zx^2+2b,|x|,<,2):} differenti...

    Text Solution

    |

  14. Let alpha, beta in R. If the mean and the variable of 6 observation, -...

    Text Solution

    |

  15. A square is inclined in the circle x^2 + y^2 - 10 x - 6y + 30 = 0 such...

    Text Solution

    |

  16. Let f(x) = x^5 + 2e^(x/4) AA x in R. Consider a function of (gof) (x) ...

    Text Solution

    |

  17. Let f(x) =frac{2x^2 - 3x + 9} {2x^2 +3x + 4}, x in R, if maximum and m...

    Text Solution

    |

  18. int0^(pi/4) frac{sin^2 x}{1 + sin x. cos x}, dx = 0

    Text Solution

    |

  19. 2, p, q are in G.P. (where p ne q) and in A.P., 2 is third term, p is ...

    Text Solution

    |