Home
Class 12
MATHS
What is the equation of the locus of a p...

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?

A

`x^(2)+y^(2)-4 y=0`

B

`x^(2)+y^(2)-4|y|=0`

C

`x^(2)+y^(2)-4 x=0`

D

`x^(2)+y^(2)-4|x|=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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

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

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 the point which moves such that sum of its distance from (2,-3) and (2,5) is always 10 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 whose distance from x -axis is twice its distance from y -axis is

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

What is the distance of P (x, y) from the origin?

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

Find the equation of set of the points P such that its distance from the points A(3,4,-5) and B(-2,1,4) are equal ?

A point moves such that its distance from the point (4,0) is half that of its distance from the line x=16 . The locus of the point is

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. If p is the length of the perpendicular from the origin on the line wh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The medians AD and BE of a triangle with vertices A (0, b), B(0, 0) an...

    Text Solution

    |

  14. The lines 2 x+11 y-5=0,4 x-3 y-2=0 and 24 x+7 y-20=0

    Text Solution

    |

  15. A st. line through the point (2, 2) intersects the lines sqrt(3)x+y=0 ...

    Text Solution

    |

  16. A triangle with vertices (4, 0), (-1, -1), (3, 5) is :

    Text Solution

    |

  17. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P. with the s...

    Text Solution

    |

  18. A square of side 4 a lies above the x -axis and has one vertex at the...

    Text Solution

    |

  19. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |

  20. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |