Home
Class 12
MATHS
Find the equation of a plane through the...

Find the equation of a plane through the points
`(1,0,1),(1,2,-2),(2,-1,0)`

Text Solution

Verified by Experts

The correct Answer is:
`10x+7y-4z=15`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE (M.C.Q) |7 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE |43 Videos

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|46 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the equation of the plane passing through the points (-1,2,0),(2,2,-1) and parallel to the line (x-1)/1=(2y-1)/2=(z+1)/-1

Find the equations of the plane through the points (1,0,-1), (3,2,2) and parallel to the line (x-1)/1=(y-1)/-2=(z-2)/3

Find the equation of a plane through the points (3,-1,2), (1,-1,-3) and (4,-3,1)

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

Find the equation of the plane passing through the points (1,2,-1),(2,4,-3),(4,-2,1)

Find the equation of a plane passing through the points (1,1,2) and (1,0,-2) and parallel to the line (x-1)/(1)=(y-2)/(3)=(z-3)/(5)

Find the equation of the plane passing through the point (1,1,0),(1,2,1) and (2,3,2).

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

BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. Find the direction cosine of a line parallel to the line (2x-5)/(4)=(y...

    Text Solution

    |

  2. Find the equation of the straight line passing through the point (2,-1...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the equation of a plane passing through the points (1,1,2) and (1...

    Text Solution

    |

  5. Find the equation of the plane through the point (-1, -1, 2) and (3, 4...

    Text Solution

    |

  6. Find the equation of the plane passing through the point(-1, 3, 2) and...

    Text Solution

    |

  7. A variable plane which is at a constant 6 p from the origin meets the ...

    Text Solution

    |

  8. Show that the lines (x-1)/(2)=(y-3)/(4)=-z and (x-4)/(2)=(y-1)/(-2)=(z...

    Text Solution

    |

  9. Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...

    Text Solution

    |

  10. Prove that the lines : (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-...

    Text Solution

    |

  11. Prove that if a plane has the intercepts a, b, c and is at a distance ...

    Text Solution

    |

  12. Find the vector equation of the plane through the intersection of the ...

    Text Solution

    |

  13. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  14. Find the equation of the straight line through the point (1,-3,2) and ...

    Text Solution

    |

  15. Find the equation of the straight line passing through the point (2,3,...

    Text Solution

    |

  16. Find the shortest distance between the line vec(r)=hat(i)-7hat(j)-2hat...

    Text Solution

    |

  17. Find the equation of the plane through the point (1,1,1), parallel to ...

    Text Solution

    |

  18. Find the distance between the point with position vector -hat(i)-5hat(...

    Text Solution

    |

  19. Show that the two lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z ...

    Text Solution

    |

  20. Show that the lines (x+3)/-3=(y-1)/1=(z-5)/5 and (x+1)/-1=(y-2)/2=(z-5...

    Text Solution

    |