Home
Class 12
MATHS
The point of intersecting of the line pa...

The point of intersecting of the line passing through `(0, 0, 1)` and intersecting the lines `x+2y+z=1, -x+y-2z=2 and x+y=2, x+z=2` with xy-plane is

A

`((5)/(3), -(1)/(3), 0)`

B

`(1, 1, 0)`

C

`((2)/(3), -(1)/(3), 0)`

D

`(-(5)/(3), (1)/(3), 0)`

Text Solution

Verified by Experts

The correct Answer is:
(a)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|28 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

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

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 4|7 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 point of intersection of the line passing through (0,0,1) and intersecting the lines x+2y+z=1,-x+y-2z=2 and x+y=2,x+z=2 with xy plane is a.((5)/(3),-(1)/(3),0) b.(1,1,0) c.((2)/(3),(1)/(3),0) d.(-(5)/(3),(1)/(3),0)

The equation of the line passing through (1, 1, 1) and perpendicular to the line of intersection of the planes x+2y-4z=0 and 2x-y+2z=0 is

Equation of line passing through A(1,0,3), intersecting the line (x/2=(y-1)/3=(z-2)/1) and parallel to the plane x+y+z=2 is

The equation of the line passing through the Intersection of planes x+2y-3z-4=0 and 3x-8y+z+2=0 is

Find the equation of the plane passing through the intersection of the planes 3x + 2y - z + 1 = 0 and x + y + z - 2 = 0 and the point (2, 2, 1).

Find the equation of the plane passing through the line of intersection of the planes 4x-5y-4z=1 and 2x=y+2z=8 and the point (2,1,3).

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. A plane passing through (1,1,1) cuts positive direction of coordinates...

    Text Solution

    |

  2. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

    Text Solution

    |

  3. The point of intersecting of the line passing through (0, 0, 1) and in...

    Text Solution

    |

  4. Two system of rectangular axes have the same origin. If a plane cuts t...

    Text Solution

    |

  5. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

    Text Solution

    |

  6. Consider the following 3lines in space L1:r=3hat(i)-hat(j)+hat(k)+la...

    Text Solution

    |

  7. Let r=a+lambdal and r=b+mum br be two lines in space, where a= 5hat(i)...

    Text Solution

    |

  8. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

    Text Solution

    |

  9. The vector equations of two lines L1 and L2 are respectively vec r=1...

    Text Solution

    |

  10. Consider three vectors p=i+j+k, q=2i+4j-k and r=i+j+3k. If p, q and r ...

    Text Solution

    |

  11. Intercept made by the circle zbarz+bara+a barz+r=0 on the real axis ...

    Text Solution

    |

  12. If the distance between the planes 8x+12y-14z=2 and 4x+6y-7z=2 can be ...

    Text Solution

    |

  13. A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is pa...

    Text Solution

    |

  14. If from the point P(f, g, h) perpendicular PL and PM be drawn to yz an...

    Text Solution

    |

  15. The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4)in the ratio...

    Text Solution

    |

  16. A variable plane forms a tetrahedron of constant volume 64k^3 with the...

    Text Solution

    |

  17. Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutual...

    Text Solution

    |

  18. Equations of the line which passe through the point with position vect...

    Text Solution

    |

  19. Which of the following planes are parallel but not identical? P1: 4x...

    Text Solution

    |

  20. A parallelopied is formed by planes drawn through the points (1, 2, 3)...

    Text Solution

    |