Home
Class 12
MATHS
All the points in the set S={(alpha+i)/(...

All the points in the set `S={(alpha+i)/(alpha-i):alpha in R } (i= sqrt(-1))lie` on a

A

straight line whose slope is 1

B

circle whose radius is 1.

C

circle whose radius is 2.

D

straight line whose slope is -1.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

  • LIMITS AND DERIVATIVES

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

Similar Questions

Explore conceptually related problems

If S={(alpha+i)/(alpha-i),alpha in R} then the S lies on

Let S = {(2alpha+3i)/(2alpha-3i):alpha in R} . All the points of S lie on a circle of radius ____________.

Find the amplitude of sin alpha+i(1-cos alpha)

If alpha=cos theta+i sin theta, then (1+alpha)/(1-alpha) equals ( (i)cot theta(ii)i tan((theta)/(2))(iii)i cot((theta)/(2))(iv)cot((theta)/(2))

Find the adjoint of the following matrices: [1tan alpha sin alpha sin alpha cos alpha]( ii) [1tan alpha/2-tan alpha/21] Verify that (adjA)A=|A|I=A(adjA) for the above matrices.

For a complex number z the minimum value of |z|+|z-cos alpha-i sin alpha| (where i=sqrt(-1)) is:

If alpha and beta are the complex roots of the equation (1+i)x^(2)+(1-i)x-2i=o where i=sqrt(-1) , the value of |alpha-beta|^(2) is

DISHA PUBLICATION-JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))-MCQs
  1. The solution of the differential equation x(dy)/(dx) + 2y = x^...

    Text Solution

    |

  2. For any two statements p and q, the negation of the expression p vee (...

    Text Solution

    |

  3. All the points in the set S={(alpha+i)/(alpha-i):alpha in R } (i= sqrt...

    Text Solution

    |

  4. If the fourth term in the binomial expansin of ((2)/(x) + x^(log(6) x)...

    Text Solution

    |

  5. If the function f defined on (pi/6,pi/3) by {{:((sqrt2 cos x -1)/(cot ...

    Text Solution

    |

  6. If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)), ...

    Text Solution

    |

  7. A plane passing through the points (0, -1, 0) and (0, 0, 1) and making...

    Text Solution

    |

  8. Let the sum of the first n terms of a non-constant A.P., a(1), a(2), a...

    Text Solution

    |

  9. Let S = { theta in [-2pi,2pi]:2 cos^(2) theta + 3 sin theta = 0}, the...

    Text Solution

    |

  10. If one root of the quadratic equation X^(2)+px+q=0 is 2-sqrt(3) : wher...

    Text Solution

    |

  11. Let f(x) = 15 -|x-10|, x in R. Then, the set of all values of x, at w...

    Text Solution

    |

  12. Let S be the set of all values of x for which the tangent to the curve...

    Text Solution

    |

  13. If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axe...

    Text Solution

    |

  14. Let vecalpha = 3hati + hatj and beta= 2hati - hatj + 3hatk. If vecbeta...

    Text Solution

    |

  15. The area (in sq units) of the region A={(x,y): x^(2) le y le x +2} is

    Text Solution

    |

  16. If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdot...

    Text Solution

    |

  17. Let sum(k=1)^(10)f(a+k)=16(2^(10)-1), where the function f satisfies ...

    Text Solution

    |

  18. A committee of 11 members is to be formed from 8 males and 5 m=females...

    Text Solution

    |

  19. Let alpha and beta be the roots of the equation x^(2) + x + 1 = 0. ...

    Text Solution

    |

  20. One extremity of a focal chord of y^2 = 16x is A(1,4). Then the length...

    Text Solution

    |