Home
Class 12
MATHS
The locus of the point which moves such ...

The locus of the point which moves such that the ratio of its distance from two fixed point in the plane is always a constant `K(lt 1)` is

A

a parabola

B

an ellipse

C

a circle

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The locus of a point which moves such that the sum of its distances from two fixed points is a constant is

The locus of a point which moves such that the difference of its distances from two fixed points is always of its distances from two fixed points is always a constant is

The locus of the point which moves such that sum of its distance from (2,-3) and (2,5) is always 10 is

An ellipse is the set of all points in a plane the sun of whose distance from two fixed points in the plane is a constant ?

Locus of a point which moves such that its distance from the X-axis is twice its distance from the line x-y=0 is

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

The locus of the point whose distance from x -axis is twice its distance from y -axis is

If a point P moves such that its distance from the point A(1,1) and the line x+y+2 are equal then the locus is

The locus of the points which are equidistant from (-a, 0) and x=a

If the sum of the distances of a point from two perpendicular lines in the plane is 1, then its locus is

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. One vertex of the equilateral triangle with centroid at the origin an...

    Text Solution

    |

  2. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |

  3. The locus of the point which moves such that the ratio of its distance...

    Text Solution

    |

  4. A point (-4,5) is the vertex of a square and one of its diagonals is 7...

    Text Solution

    |

  5. The equation of a straight line passing through the point (-5, 4) and ...

    Text Solution

    |

  6. The three lines a x+b y+c=0, b x+c y+a=0 and c x+a y+b=0 are concurren...

    Text Solution

    |

  7. If the equation x^(2)+y^(2)+2gx+2fy+1=0 represents a pair of lines t...

    Text Solution

    |

  8. A line makes zero intersects on x axis and y axis and it is prependicu...

    Text Solution

    |

  9. If p is the length of the perpendicular from the origin on the line wh...

    Text Solution

    |

  10. The locus of a point which is equidistant from ( a+ b , a-b) and (a-b,...

    Text Solution

    |

  11. What is the equation of the locus of a point which moves such that 4 t...

    Text Solution

    |

  12. Equation of the straight line making equal intercepts on the axes and ...

    Text Solution

    |

  13. Equation of the straight line making equal intercepts on the axes and ...

    Text Solution

    |

  14. If the area of the triangle with vertices (x, 0). (1.1) and (0.2) is 4...

    Text Solution

    |

  15. If (0,-1) and (0,3) are two vertices of a square, the other two vertic...

    Text Solution

    |

  16. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

    Text Solution

    |

  17. If the lines x+3y-9=0, 4x+by-2=0 and 2x-y-4=0 are concurrent, then b ...

    Text Solution

    |

  18. The co-ordinates of the foot of the perpendicular drawn from the point...

    Text Solution

    |

  19. The coordinates of the circumcentre of the triangle with vertices (2,3...

    Text Solution

    |

  20. The orthocentre of the triangle formed by A(1,2), B(-2,2), C(1,5) is

    Text Solution

    |