Home
Class 12
MATHS
The centre of the circle given by vec r...

The centre of the circle given by `vec r* (hat i+ 2hat j + 2hat k) = 15 and |vec r-(hat j + 2hat k)| = 4` is

Text Solution

Verified by Experts

The correct Answer is:
`(1, 3, 4)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

the angle between the planes vec r*(2hat i-hat j+hat k)=6 and vec r*(hat i+hat j+2hat k)=5

The position of a particle is given by vec r = hat i + 2hat j - hat k and its momentum is vec p = 3 hat i + 4 hat j - 2 hat k . The angular momentum is perpendicular to

Find the angle between the planes vec r*(2hat i-hat j+hat k)=6 and vec r*(hat i+hat j+2hat k)=5

Find the equation of the plane through the line of intersection of vec r*(2hat i-3hat j+4hat k)=tandvec r*(hat i-hat j)+4=0 and perpendicular to vec r.(2hat i-hat j+hat k)+8=0

Shortest distance between the lines: vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+u(2hat i+4hat j-5hat k)

Find the angle between the lines vec r*(hat i+2hat j-hat k)+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

Find the point of intersection of the line : vec(r) = (hat(i) + 2 hat(j) + 3 hat(k) ) + lambda (2 hat(i) + hat(j) + 2 hat(k)) and the plane vec(r). (2 hat(i) - 6 hat(j) + 3 hat(k) ) + 5 = 0.

Find the shortest distance between the lines vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+mu(2hat i+4hat j-5hat k)

The lines vec r=(hat i+hat j+hat k)alpha+3hat k and vec r=(hat i-2hat j+hat k)beta+3hat k

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The centre of the circle given by vec r* (hat i+ 2hat j + 2hat k) = 1...

    Text Solution

    |

  2. Consider a pyramid OPQRS located in the first octant (xge0, yge0, zge0...

    Text Solution

    |

  3. Let P be the image of the point (3, 1, 7) with respect to the plane x...

    Text Solution

    |

  4. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

    Text Solution

    |

  5. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

    Text Solution

    |

  6. A line l passing through the origin is perpendicular to the lines 1:...

    Text Solution

    |

  7. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

    Text Solution

    |

  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

    Text Solution

    |

  9. If the distance between the plane Ax-2y+z=d and the plane containing ...

    Text Solution

    |

  10. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  11. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  12. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  13. Consider three planes P(1):x-y+z=1 P(2):x+y-z=-1 and " "P...

    Text Solution

    |

  14. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  15. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

    Text Solution

    |

  16. The distance of the point (1, 3, -7) from the plane passing through th...

    Text Solution

    |

  17. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  18. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

  19. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  20. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

  21. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |