Home
Class 11
MATHS
Determine the point on yz-plane which is...

Determine the point on yz-plane which is equidistant from points `A(2,0,3),\ b(0,3,2)a n d\ C(0,0,1)dot`

Text Solution

Verified by Experts

Since `x`-coordinate of every point in `yz`-plane is zero.
Let `P (0, y, z) `be a point on the yz-plane such that `PA = PB = PC.`
Now `PA = PB`
` (0 – 2)^2 + (y – 0)^2 + (z – 3)^2 = (0 – 0)^2 + (y – 3)^2 + (z – 2)^2`
...
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    RD SHARMA|Exercise Solved Examples And Exercises|72 Videos
  • LIMITS

    RD SHARMA|Exercise All Questions|300 Videos

Similar Questions

Explore conceptually related problems

Determine the point in XY- plane whcih is equidistant from three points A(2,0,3),B(0,3,2) and C(0,0,1)

Determine the point in yz plane which is equidistant from three points A(2, 0, 3), B(0, 3, 2) and C(0, 0, 1).

Determine the point in XY plane which is equidistant from the point A(1,-1,0),B(2,1,2) and C(3,2,-1)

Find the point on x-axis which is equidistant from points A(-1, 0) and B(5, 0).

The point on x-axis which is equidistant from points A (-1, 0) and B(5, 0) is

The point Y axis which is equidistant from the points (3,1,2) and (5,5,2) is (0,5,0)

Find the coordinates of the point which is equidistant from the four points O(0,0,-0),A(2,0,0),B(0,3,0)and C(0,0,8)

Write the coordinate of a point P on X-axis which is equidistant from the points A (-2,0) and B(6,0).

The point on the line 4x-y-2=0 which is equidistant from the points (-5,6) and (3,2) is

RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
  1. Find the point on x-axis which is equidistant from the points A(3,2,2)...

    Text Solution

    |

  2. Find the coordinates of a point equidistant from the origin and pints ...

    Text Solution

    |

  3. Write the coordinates of the point P which is five sixth of the way fr...

    Text Solution

    |

  4. If a parallelepiped is formed by the planes drawn through the points ...

    Text Solution

    |

  5. Determine the point on yz-plane which is equidistant from points A(2,0...

    Text Solution

    |

  6. If the origin is the centroid of a triangle ABC having vertices A(a ,1...

    Text Solution

    |

  7. The ratio in which the line joining (2,4,5) and (3,5,-9) is divided by...

    Text Solution

    |

  8. The ratio in which the line joining the points (a , b , c)a n d\ (-a ,...

    Text Solution

    |

  9. If P(0,1,2),\ Q(4,-2,1)a n d\ O(0,0,0) are three points then angle P ...

    Text Solution

    |

  10. If the extremities of the diagonal fo a square are (1,-2,3) and (2,...

    Text Solution

    |

  11. The points (5,-4,2), (4,-3,1), (7,6,4) and (8,-7,5) are the vertices o...

    Text Solution

    |

  12. In a three dimensional space the equation x^2-5x+6=0 represents a. poi...

    Text Solution

    |

  13. Let (3,4,-1) and (-1,2,3) be the end points of  diameter of a sphere. ...

    Text Solution

    |

  14. XOZ-plane divides the join of (2,3,1) and (6,7,1) in the ratio a. 3:7...

    Text Solution

    |

  15. What is the locus of a point for which y=0,\z =0? a. x-axis b. y-ax...

    Text Solution

    |

  16. The coordinates of the foot of the perpendicular drawn from the point ...

    Text Solution

    |

  17. The perpendicular distance of the point P(6,7,8) from xy-plane is a. 8...

    Text Solution

    |

  18. The length of the perpendicular drawn from the point P(3,4,5) on y-axi...

    Text Solution

    |

  19. The perpendicular distance of the point P(3,3,4) from the x-axis is 3s...

    Text Solution

    |

  20. The length of the perpendicular drawn from the point P(a , b , c) fro...

    Text Solution

    |