Home
Class 12
MATHS
Given four points A(2, 1, 0), B(1, 0, 1...

Given four points `A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2)`. Point D lies on a line L orthogonal to the plane determined by the points A, B and C.
Q. The equation of the plane ABC is

A

`x+y+z-3=0`

B

`y+z-1=0`

C

`x+z-1=0`

D

`2x+z-1=0`

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|9 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 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

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C. Q.The equation of the line L is

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C. Q. The perpendicular distance of D from the plane ABC is

Given four points A(2, 1, 0)m B(1, 2, 3), C(3, 1, 1) and D(0, 1, 3) . Point D lies on the line L which is perependicular to the plane determined by the points A, B, C. If the point of intersection of the plane determined by the points A, B, C and the line L is (a, b, c), then 9(a+b+c) is equal to

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Equation of the plane ABC is

Show that the points A(2, -1, 0) B(-3, 0, 4), C(-1, -1, 4) and D(0, -5, 2) are non coplanar.

Show that the points A(2, 1), B(0,3), C(-2, 1) and D(0, -1) are the vertices of a square.

Show that the points A(2,1, -1), B(0, -1, 0), C(4, 0, 4) and D(2,0,1) are coplanar.

If four point A(1,0,3),B(-1,3,4),C(1,2;1) and D(k,2,5) are coplanar,then k=

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  2. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  3. If a=6hat(i)+7hat(j)+7hat(k), b=3hat(i)+2hat(j)-2hat(k), P(1, 2, 3) ...

    Text Solution

    |

  4. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. A point ...

    Text Solution

    |

  5. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Coordina...

    Text Solution

    |

  6. A(-2, 2, 3) and B(13, -3, 13) and L is a line through A. Q. Equation...

    Text Solution

    |

  7. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  8. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  9. The vector equation of a plane is a relation satisfied by position vec...

    Text Solution

    |

  10. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  11. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  12. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  13. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  14. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  15. The line of greatest slope on an inclined plane P1 is that line in the...

    Text Solution

    |

  16. The line of greatest slope on an inclined plane P1 is the line in the ...

    Text Solution

    |

  17. The line of greatest slope on an inclined plane P1 is the line in the ...

    Text Solution

    |

  18. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

    Text Solution

    |

  19. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

    Text Solution

    |

  20. Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2). ...

    Text Solution

    |