Home
Class 12
MATHS
Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)...

Let `(-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1))` where x and y are real numbers then y-x equals

A

85

B

85

C

`-91`

D

91

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Let z=x+i y be a complex number, where xa n dy are real numbers. Let Aa n dB be the sets defined by A={z :|z|lt=2}a n dB={z :(1-i)z+(1+i)bar z geq4} . Find the area of region AnnB

if A=[[i,0] , [0,i]] where i=sqrt(-1) and x epsilon N then A^(4x) equals to:

Let f(x)=x^2-2x-1 AA x in R Let f:(-oo, a]->[b, oo) , where a is the largest real number for which f(x) is bijective. If f : R->R , g(x) = f(x) + 3x-1 , then the least value of function y = g(|x|) is

Solve 5x-3 lt 3x+1 when (i) x is an integer (ii) x is a real number.

Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are nonzero real number, is equal to x y z b. 2x y z c. 3x y z d. 4x y z

For real numbers x and y define x\ R\ y if x - y + sqrt(2) is an irrational number. Then the relation R is

If int sqrt(1-x^2)/x^4dx=A(x).(sqrt(1-x^2))^m where A(x) is a function of x then (A(x))^m = (A) -1/(27x^9) (B) 1/(27x)^9 (C) 1/(3x^9) (D) -1/(3x^9)

Let y=sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

Let sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

CENGAGE-JEE 2019-MCQ
  1. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

    Text Solution

    |

  2. If z=(sqrt(3)/2+i/2)^5+(sqrt(3)/2-i/2)^5 , then prove that Im(z)=0

    Text Solution

    |

  3. Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbe...

    Text Solution

    |

  4. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  5. Let Z(1) and Z(2) be two complex numbers satisfying |Z(1)|=9 and |Z(2)...

    Text Solution

    |

  6. Consider the statement : " P(n) : n^(2)-n+41 is prime." Then, which on...

    Text Solution

    |

  7. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

    Text Solution

    |

  8. Let a(1), a(2),....a(3) be an AP, S = sum(i = 1)^(30) a(i) and T = su...

    Text Solution

    |

  9. The sum of series 1+6+(9(1^(2)+2^(2)+3^(2)))/(7) + (12(1^(2)+2^(2)+...

    Text Solution

    |

  10. Let a, b and c be the 7th, 11th and 13th terms, respectively, of a non...

    Text Solution

    |

  11. The sum of all two digit positive numbers which when divided by 7 yiel...

    Text Solution

    |

  12. If 5, 5r and 5r^(2) are the lengths of the sides of a triangle, then r...

    Text Solution

    |

  13. The sum of an infinite geometric series with positive terms is 3 and t...

    Text Solution

    |

  14. Let a1, a2, a3, ?a10 are in G.P. if a3/a1 =25 then a9/a5 is equal to ...

    Text Solution

    |

  15. If 19th term of a non-zero AP is zero, then its (49th term) : (29 th t...

    Text Solution

    |

  16. The product of three consecutive terms of a GP is 512. If 4 is added t...

    Text Solution

    |

  17. Let S(k) = (1+2+3+...+k)/(k). If S(1)^(2) + s(2)^(2) +...+S(10)^(2) = ...

    Text Solution

    |

  18. If the sum of the first 15 terms of the series ((3)/(4))^(3)+(1(1)/(2)...

    Text Solution

    |

  19. Let x, y be positive real numbers and m, n be positive integers, The ...

    Text Solution

    |

  20. Consider a class of 5 girls and 7 boys. The number of different teams ...

    Text Solution

    |