Home
Class 14
MATHS
The locus of a point equidistant from th...

The locus of a point equidistant from three collinear points is

A

A straight line

B

A pair of points

C

A point

D

The null set

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • POINT & LINE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |105 Videos
  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos
  • PROBABILITY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|159 Videos

Similar Questions

Explore conceptually related problems

The locus of point equidistant from three fixed points is a single point. The three points are________

The locus of a point, equidistant from the coordinate axes is _______

Statement-1: The locus of point z satisfying |(3z+i)/(2z+3+4i)|=3/2 is a straight line. Statement-2 : The locus of a point equidistant from two fixed points is a straight line representing the perpendicular bisector of the segment joining the given points.

The locus of a point equidistant from the points does not exists. This implies that the three points are _____

The locus of a point equidistant from two intersecting lines is

The locus of a point equidistant from two points with position vectors vec a and vec b is

Prove that the locus of the point equidistant from two given points is the straight line which bisects the line segment joining the given points at right angles.

Show that the locus of a point, equidistant from the endpoints of a line segment, is the perpendicular bisector of the segment

The locus of the point equidistant from two given points a and b is given by

PUNEET DOGRA-POINT & LINE -PREV YEAR QUESTIONS
  1. The points (5 , 1) , (1 , -1) and (11 , 4) are

    Text Solution

    |

  2. The equation to the locus of a point which is always equidistant from ...

    Text Solution

    |

  3. The locus of a point equidistant from three collinear points is

    Text Solution

    |

  4. For what value of k, are the lines x + 2y + 9 = 0 and kx + 4y - 5 = 0 ...

    Text Solution

    |

  5. What are the coordinates of the foot of the perpendicular from the poi...

    Text Solution

    |

  6. If (p, q) is the point on the axis equidistant from the point (1 ,2) a...

    Text Solution

    |

  7. The equation to the locus of the point P(x,y) which is equidistant fro...

    Text Solution

    |

  8. The line mx + ny = 1 passes through the points (1, 2) and (2, 1). What...

    Text Solution

    |

  9. If the sum of the squares of the distances of the point (x, y) from th...

    Text Solution

    |

  10. What is the point of intersection of the lines 2x + 3y = 5 and 3x - 4y...

    Text Solution

    |

  11. What is the equation of the line passing through (2 , -3) and parallel...

    Text Solution

    |

  12. What is the locus of the point which is at a distance 8 units to the l...

    Text Solution

    |

  13. If (a , 0) , (0 , b) and (1 , 1) are collinear , what is (a + b -ab) e...

    Text Solution

    |

  14. Two straight lines x - 3y - 2 = 0 and 2x - 6y - 6 =0

    Text Solution

    |

  15. If the area of a triangle with vertices (- 3, 0), (3, 0) and (0, k) is...

    Text Solution

    |

  16. If the straight lines x - 2y = 0 and kx + y = 1 intersect at the point...

    Text Solution

    |

  17. What is the slope of the line perpendicular to the line (x)/(4) + (y)/...

    Text Solution

    |

  18. Find the equation of the straight line passing through the origin and ...

    Text Solution

    |

  19. If the lines 3y + 4x = 1 , y = x + 5 and 5y + bx = 3 are concurrent ,...

    Text Solution

    |

  20. If (-5,4) divides the line segment between the coordinate axes in the ...

    Text Solution

    |