Home
Class 12
MATHS
The distance of a point P from the stria...

The distance of a point P from the striaght line x=-4 is equal to its distance from the point (3,0) . Find the equation to the locus of P.

Text Solution

Verified by Experts

The correct Answer is:
`y^(2)=7(2x+1)`
Promotional Banner

Topper's Solved these Questions

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 ( Long Type Questions )|26 Videos
  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams A (Multiple Correct Answer Type)|5 Videos
  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 (Very Short Type Questions )|41 Videos
  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

Similar Questions

Explore conceptually related problems

A point P(x,y) moves in the xy - plane in such a way that its distance from the point (0,4) is equal to (2)/(3) rd of its distance from the x axis , find the equation to the locus of P.

If the distance foa moving point from the point (2,0) is equal to the distance of the moving point from y-axis, then the equation of the locus of the moving point is

Find the coordinates of points on the straight line x+y=4 which are at unit distance from the line 4x+3y=10.

A point moves such that its distance from the y-axes is equal to its distance from the point (2,0). Find its locus and identify the nature of the conic .

Find the equation of the striaght line equidistant from the point (-2,3) and the line 8y=9x-12 .

A point moves in a plane such that its distance from the point (2,3) exceeds its distance from the y- axis by 2 . Find the equation to the locus of the point .

Find the locus of a point whose distance from (a, 0) is equal to its distance from the y-axis.

The sum of the distances of a moving point from the points (c,0) and (-c,0) is always 2a unit (agtc) . Find the equation to the locus of the moving point.

A point moves in such a way that its ditance from the point (2,5) is equal to its distace from the line 2x + 4y = 3 . Find the equation of its path . What is the name of the curve ?

Find the equation of the straight line equidistant from the point (2,-2) and the line 3x-4y+1=0.

CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 ( Short Type Questions )
  1. Find the point to which the origin should be shifted after a translat...

    Text Solution

    |

  2. Verify that the area of the triangle with vertices (6,2), (-3,4) and ...

    Text Solution

    |

  3. The distance of a point P from the striaght line x=-4 is equal to its...

    Text Solution

    |

  4. A point P(x,y) moves in the xy - plane in such a way that its distance...

    Text Solution

    |

  5. A point moves in a plane such that its distance from the point (2,3) e...

    Text Solution

    |

  6. Find the locus of a point which moves so that the sum of the squares o...

    Text Solution

    |

  7. Find the equation to the locus of a moving point which is equidistant ...

    Text Solution

    |

  8. The coordinates of a moving point P are (at^(2),2at), where t is a var...

    Text Solution

    |

  9. If theta is a variable , find the equation to the locus of a moving p...

    Text Solution

    |

  10. The ratio of the distances of a moving point from the points (3,4) and...

    Text Solution

    |

  11. A point so moves that the sum of squares of its distances from (a,0) ...

    Text Solution

    |

  12. A(1,2) and B (5,-2) are two given point on the xy-plane, on which C is...

    Text Solution

    |

  13. A moving point is always collinear with the point (2,-1) and (3,4) , f...

    Text Solution

    |

  14. Find the equation to the locus of the moving point which is equidistan...

    Text Solution

    |

  15. The coordinates of a moving point P are (ct+(c)/(t),ct-(c)/(T)), wher...

    Text Solution

    |

  16. The sum of the distances of a moving point from the points (3,0) and (...

    Text Solution

    |

  17. Find the equation to the locus of a moving point which moves in such a...

    Text Solution

    |

  18. The variable straight line (x)/(a)+(y)/(b)=1 is such that , a+b=10. F...

    Text Solution

    |

  19. The sum of the intercepts cut off from the coordinate axes by a variab...

    Text Solution

    |

  20. S(sqrt(a^(2)-b^(2)),0)andS'(-sqrt(a^(2)-b^(2)),0) are two given point...

    Text Solution

    |