Home
Class 12
MATHS
If one end of a diameter of a sphere x^2...

If one end of a diameter of a sphere `x^2+y^2+z^2-4x-2y+2z-30=0` is `(4,5,-5)` find the other end.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

If one end of a diameter of the sphere x^2+y^2+z^2-2x+4y-6z-11=0 is (-1,2,4) then find the coordinates of the other end.

If (2,3,5) is one end of a diameter of the sphere x^2+y^2+z^2-6x-12y-2z+20=0 , then write coordinates of the other end of the diameter.

If (2,3,5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-6x-12y-2z+20 = 0, then write coordinates of the other end of the diameter.

Write the equation of the sphere concentric with the sphere x^2+y^2+z^2-4x-2x-2y+2z-30=0 and passing through the origin.

Find the equation of the sphere concentric with the sphere x^2+y^2+z^2+4x-6y+8z-5=0 and passing through origin.

Find the value of a for which the plane x+y+z-a=0 will touch the sphere x^2+y^2+z^2-2x-2y-2z-6=0

Find the co-ordinates of the point where the (x - 2)/3 = (y+1)/4=(z-2)/2 intersect the plane x - y + z - 5 = 0 . Also find the angle between the line and the plane.

Find the equation of the plane Which contains the line of intersection of the planes x+2y+3z-4=0 and 2x+y-z+5=0 and perpendicular of the plane 5x+ 3y+6z+8=0 .

Find the co-ordinates of the point where the line (x-2)/3=(y+1)/4=(z-2)/2 intersect the plane x-y+z-5=0

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find equation of the sphere with centre (3,6,-4) and touching the plan...

    Text Solution

    |

  2. Find equation of the sphere passing through the points (0,0,0), (2,0,0...

    Text Solution

    |

  3. If one end of a diameter of a sphere x^2+y^2+z^2-4x-2y+2z-30=0 is (4,5...

    Text Solution

    |

  4. Find the equation of the sphere on the join of (2,3,5) and (4,9,-3) as...

    Text Solution

    |

  5. If the vectors a^rarr=2overset^j-3overset^k and b^rarr=2overset^j+aove...

    Text Solution

    |

  6. If |alphaoversetrarra|=2, what is the value of alpha?

    Text Solution

    |

  7. If the position vectors of two points A ans B are 3overset^i+2overset^...

    Text Solution

    |

  8. Given position vectors of P and Q, as (1,0,-2) and (3,-2,0) respective...

    Text Solution

    |

  9. Given co-ordinates of the points A and B as (-1,-2) and (-5,-6) respec...

    Text Solution

    |

  10. Write the unit vectors parallel to the vector 3overset^i+overset^j-2ov...

    Text Solution

    |

  11. Find the direction cosines of the vectors, oversetrarr(r1)-oversetrarr...

    Text Solution

    |

  12. Are the points A (2,6,3), B (1,2,7) and (3,10,-1) collinear?

    Text Solution

    |

  13. What is the angle between the vectors oversetrarra=overset^i+overset^j...

    Text Solution

    |

  14. What is the scalar product of the vectors oversetrarra=2overset^i+over...

    Text Solution

    |

  15. What is the scalar projection of the vector oversetrarra=overset^i+ove...

    Text Solution

    |

  16. What is the vector projection (component) of the vector oversetrarra=...

    Text Solution

    |

  17. What is the unit vector perpendlcular to each of the vectors overset^i...

    Text Solution

    |

  18. What is the area of the parallelogram whose sides are vectors 2overset...

    Text Solution

    |

  19. The area of the triangle with vertices (2,0,0), (0,1,0) and (0,0,3) is...

    Text Solution

    |

  20. If the vectorsoverset^i+2overset^j+overset^k and2overset^i+3overset^j+...

    Text Solution

    |