Home
Class 12
MATHS
Find the equation of the plane passing t...

Find the equation of the plane passing through the points`(2,1,0),(5,0,1)` and `(4,1,1)` If P is the point `(2,1,6)` then find point Q such that PQ is perpendicular to the above plane and the mid point of PQ lies on it.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

If P is the point (2,1,6) find the point Q such that PQ is perpendicular to the plane x+y-2z=3 and the mid point of PQ lies on it.

If P is the point (2,1,6) find the point Q such that PQ is perpendiculr to the plane in x+y-2z =3 and the mid point of PQ lies on it.

Find the equation of the plane passing through the points A(2,1,-3), B(-3,-2,1) and C(2,4,-1) .

Find the vector equation of the plane passing through the points (1,1,0),(1,2,1)a n d(-2,2,-1)dot

Find the equations of the plane that passes through three points (1,1,0),(1,2,1),(-2,2,-1).

Find the equation of the plane through points (2,1,0),(3,-2,-2), and (3,1,7).

Find the equation of the plane through points (2,1,0),(3,-2,-2), and (3,1,7).

Find the equation of the plane through the points A(3, 2, 0), B(1, 3, -1) and C(0, -2, 3).

Find the cartesian equation of plane passing through the points (1,1,1), (1,-1,1) and (-7,-3,-5) .

Find the equation of the plane passing through the points (2,1,2) and (1,3,-2) and parallel to the x-axis.

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The length of projection of the line segment joining the points (1,...

    Text Solution

    |

  2. Find the equation of a plane passing through (1, 1, 1) and parallel to...

    Text Solution

    |

  3. Find the equation of the plane passing through the points(2,1,0),(5,0,...

    Text Solution

    |

  4. For the line (x-1)/(1)=(y-2)/(2)=(z-3)/(3), which one of the following...

    Text Solution

    |

  5. The value of m for which straight lein 3x-2y+z+3=0=4 x-3y+4z+1 is pa...

    Text Solution

    |

  6. Let the equations of a line and plane be (x+3)/2=(y-4)/3=(z+5)/2a n...

    Text Solution

    |

  7. The length of the perpendicular form the origin to the plane passin...

    Text Solution

    |

  8. In a three-dimensional x y z space , the equation x^2-5x+6=0 represent...

    Text Solution

    |

  9. The line (x-2)/3=(y+1)/2=(z-1)/-1 intersects the curve x y=c^(2),z=0 i...

    Text Solution

    |

  10. A unit vector parallel to the intersection of the planes vec r. \ (...

    Text Solution

    |

  11. Let L1 be the line vec r1=2 hat i+ hat j- hat k+lambda(hat i+2 hat k)...

    Text Solution

    |

  12. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

    Text Solution

    |

  13. The Cartesian equation of the plane vec r=(1+lambda-mu) hat i+(2-l...

    Text Solution

    |

  14. Find the angle between the lines vec r=3 hat i+2 hat j-4 hat k+lambda...

    Text Solution

    |

  15. The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambd...

    Text Solution

    |

  16. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  17. Statement 1: there exists a unique sphere which passes through the ...

    Text Solution

    |

  18. Statement 1: There exist two points on the (x-1)/1=y/(-1)=(z+2)/2 w...

    Text Solution

    |

  19. Statement 1: The shortest distance between the lines x/(-3)=(y-1)/1=(z...

    Text Solution

    |

  20. Find the number of sphere of radius r touching the coordinate axes...

    Text Solution

    |