Home
Class 11
MATHS
Find the equation of set of point P such...

Find the equation of set of point P such that` P A^2+P B^2=2 k^2`, where A and B are the points (3,4,5) and (-1,3,-7), respectively.

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    V PUBLICATION|Exercise Question Bank|88 Videos

  • LIMITS AND DERIVATIVES

    V PUBLICATION|Exercise QUESTION BANK|106 Videos

Similar Questions

Explore conceptually related problems

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

Find the unit vector in the direction of vector vecP Q , where P and Q are the points (1,2,3) and (4,5,6) respectively.

Find the unit vector in the direction of oversetrarr(PQ) , where P and Q are the points (1,2,3) and (4,5,6) respectively.

Find a unit vector perpendicular to the plane ABC where A,B,C are the points (3,-1,2)(1,-1,-3)(4,-3,1) respectively.

Find the distance between the points P(-2,4,1) .and Q(1,2,-5) .

Find the distance between the points P(1,-3,4) and Q(-4,1,2) .

If A and B are the points (3,4,5) and (-1,3,-7) respectively, find the equation of the set of points P such that PA^2+PB^2=k^2 where k is a constant.

The centroid of the triangle ABC is at the point (1,2,3) . If the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively. Find the coordinates of the point C.

Find the locus of the set of points P such that the distance from A(2,3,4) is equal to twice the distance from B(-2,1,2) .

Find the vector joining the points P(2,3,0) and Q(-1,-2,-4) . directed from P to Q .

V PUBLICATION-INTRODUCTION TO THE DIMENSIONAL GEOMETRY-Question Bank
  1. Three vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4) and C...

    Text Solution

    |

  2. Find the lengths of the medians of the triangle with vertices A(0,0,6...

    Text Solution

    |

  3. If the origin is the centroid of the triangle PQR with vertices P(2a,2...

    Text Solution

    |

  4. Find the coordinates of a point on y -axis which are at a distance of ...

    Text Solution

    |

  5. Find the equation of set of point P such that P A^2+P B^2=2 k^2, where...

    Text Solution

    |

  6. Find the distance between the points P(-2,4,1).and Q(1,2,-5).

    Text Solution

    |

  7. Prove by using distance formula that the A(1,2,3),B(-1,-1,-1) and C(...

    Text Solution

    |

  8. Determine the point in X Y plane which is equidistant from three point...

    Text Solution

    |

  9. Find the locus of the point which is equidistant from the point A(0,2,...

    Text Solution

    |

  10. Show that the point A(0,1,2), B(2,-1,3) and C(1,-3,1) are vertices of ...

    Text Solution

    |

  11. Find the coordinates of a point equidistant from the four points 0(0,0...

    Text Solution

    |

  12. Find the coordinates of a point which divides the join of P(2,-1,4) an...

    Text Solution

    |

  13. Find the coordinates of a point which divides the join of P(2,-1,4) an...

    Text Solution

    |

  14. Find the ratio in which the line joining the points (1,2,3) and (-3,4,...

    Text Solution

    |

  15. Find the ratio in which the join of A(2,1,5) and B(3,4,3) is divided b...

    Text Solution

    |

  16. Using section formula, prove that the three points A(-2,3,5), B(1,2,3)...

    Text Solution

    |

  17. The mid -points of the sides of a triangle are (1,5,-1),(0,4,-2) and (...

    Text Solution

    |

  18. Given that P(3,2,-4), Q(5,4,-6) and R(9,8,-10) are collinear. Find the...

    Text Solution

    |

  19. Find the coordinates of the points which trisect the line segment AB, ...

    Text Solution

    |

  20. Let P and Q be any two points. Find the coordinates of the point R whi...

    Text Solution

    |