Home
Class 12
MATHS
If z=x+i y, z^(1/3)=a-i b " and " x/a-y/...

If `z=x+i y, z^(1/3)=a-i b " and " x/a-y/b=lambda(a^2-b^2),` then `lambda` is equal to

A

2

B

4

C

6

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-1: Concept Builder (Topic -5)|10 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 27|15 Videos

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If z=x+iy,z^((1)/(3))=a-ib and backslash(x)/(a)-(y)/(b)=lambda(a^(2)-b^(2)) then lambda is equal to

If the distance between the plane 23x-10y-2z+48 =0 and the plane containing the lines (x+1)/2 =(y-3)/4= (z+1)/(3) and (x+3)/(2)=(y+2)/6 = (z-1)/(lambda)(lambda in R) is equal to k/sqrt(633) , then k is equal to __________.

If x=(4 lambda)/(1+lambda^(2)) and y=(2-2 lambda^(2))/(1+lambda^(2)) where lambda is a real parameter and Z=x^(2)+y^(2)-xy then possible values of Z can be

Two lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z)/(1) intersect at a point P. If the distance of P from the plane 2x-3y+6z=7 is lambda units, then the value of 49lambda is equal to

The locus of the point of intersection of the straight lines (x)/(a)+(y)/(b)=lambda and (x)/(a)-(y)/(b)=(1)/(lambda) ( lambda is a variable), is

DISHA PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS -Exercise -2 : Concept Applicator
  1. If arg(z) lt 0, then find arg(-z) -arg(z).

    Text Solution

    |

  2. If f(z)=(7-z)/(1-z^2) , where z=1+2i , then |f(z)| is (|z|)/2 (b) |z| ...

    Text Solution

    |

  3. If z=x+i y, z^(1/3)=a-i b " and " x/a-y/b=lambda(a^2-b^2), then lambda...

    Text Solution

    |

  4. Amplitude of (1+sqrt3i)/(sqrt3+1)is

    Text Solution

    |

  5. If z=(3-i)/(2+i)+(3+i)/(2-i) then value of arg (zi) is

    Text Solution

    |

  6. If (y^2-5y+3)(x 62+x+1)<2x for all x in R , then fin the interval in ...

    Text Solution

    |

  7. Let x+1/x=1 and a, b and c are distict positive integer such that (x^(...

    Text Solution

    |

  8. If z=(3+7i)(a+ib), where a, b in Z-{0}, is purely imaginery, then mini...

    Text Solution

    |

  9. The value of lambda for which the sum of squares of roots of the equat...

    Text Solution

    |

  10. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

    Text Solution

    |

  11. If alpha,beta are the roots of the equation ax^2+ bx +c =0, then alp...

    Text Solution

    |

  12. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

    Text Solution

    |

  13. Solve: x^(2) + 2 = 0

    Text Solution

    |

  14. If a<b<c<d , then the roots of the equation (x-a)(x-c)+2(x-b)(x-d)=0 a...

    Text Solution

    |

  15. If the cube roots of unity are 1,w w^2,then the roots of the equation ...

    Text Solution

    |

  16. Find t values of the parameter a such that the rots alpha,beta of the ...

    Text Solution

    |

  17. If w is a complex cube root of unity, then the value of w^(99)+w^(100)...

    Text Solution

    |

  18. If alpha and beta are the roots of the equation x^2+px+(3p)/4=0 such t...

    Text Solution

    |

  19. The quadratic equations x^2""6x""+""a""=""0""a n d""x^2""c x""+""6"...

    Text Solution

    |

  20. If x be real, then the minimum value of x^(2)-8x+17 is

    Text Solution

    |