Home
Class 12
MATHS
The equation of the locus of a point whi...

The equation of the locus of a point which moves so that its distance from the point (ak, 0) is k times its distance from the point `((a)/(k),0) (k ne 1)` is

A

`x^(2)-y^(2)=a^(2)`

B

`2x^(2)-y^(2)=2a^(2)`

C

`xy=a^(2)`

D

`x^(2)+y^(2)=a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|15 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|7 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 3|19 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

Find the locus of a point which moves so that its distance from (1,2,3) is four times its distance from YZ plane

Find the locus of a point which moves such that its distance from the origin is three xx its distance from x-axis.

Find the locus of a point , which moves such that its distance from the point (0,-1) is twice its distance from the line 3x+4y+1=0.

Find the equation of the locus of a point which moves so that its distance from the x-axis is double of its distance from the y-axis.

The locus of a point which moves such that its distance from a given point is constant is

What is the equation of the locus of a point which moves such that 4 xx its distance from the x-axis is the square of its distance from the origin

ARIHANT MATHS-COORDINATE SYSTEM AND COORDINATES -Exercise For Session 4
  1. The equation of the locus of points equidistant from (-1-1) and (4,2...

    Text Solution

    |

  2. The equation of the locus of a point which moves so that its distance ...

    Text Solution

    |

  3. If the coordinates of a vartiable point P be (t+(1)/(t), t-(1)/(t)), w...

    Text Solution

    |

  4. If the coordinates of a variable point be (cos theta + sin theta, sin ...

    Text Solution

    |

  5. If a point moves such that twice its distance from the axis of x excee...

    Text Solution

    |

  6. The equation 4xy-3x^(2)=a^(2) become when the axes are turned through ...

    Text Solution

    |

  7. Transform the equation x^(2)-3xy+11x-12y+36=0 to parallel axes through...

    Text Solution

    |

  8. Find the locus of a point equidistant from the point (2,4) and the ...

    Text Solution

    |

  9. Find the equation of the locus of the points twice as from (-a, 0) as ...

    Text Solution

    |

  10. OA and OB are two perpendicular straight lines. A straight line AB is ...

    Text Solution

    |

  11. The ends of a rod of length l move on two mutually perpendicular lines...

    Text Solution

    |

  12. The coordinates of three points O, A, B are (0, 0), (0,4) and (6, 0) r...

    Text Solution

    |

  13. What does the equation (a-b)(x^2+y^2)-2a b x=0 become if the origin...

    Text Solution

    |

  14. The equation x^(2)+2xy+4=0 is transformed to the parallel axes through...

    Text Solution

    |

  15. Show that if the axes be turned through 7(1^(@))/(2), the equation sqr...

    Text Solution

    |

  16. Find the angle through which the axes may be turned so that the equati...

    Text Solution

    |

  17. Transform 12x^(2)+7xy-12y^(2)-17x-31y-7=0 to rectangular through the p...

    Text Solution

    |