Home
Class 12
MATHS
the equationof a plane is 2x-y-3z=5 and ...

the equationof a plane is `2x-y-3z=5 and A(1,1,1),B(2,1,-3),C(1,-2,-2) and D(-3,1,2)` are four points. Which of the following line segments are intersects by the plane? (A) AD (B) AB (C) AC (D) BC

A

AD

B

AB

C

AC

D

BC

Text Solution

Verified by Experts

The correct Answer is:
(b, c)
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

Let (1,2,0) , B(2,0,4) , C (1,1,2) & D(0,1,3) be four points in space then the length of projection of line segment AB on the line C D is

Show that the four points A(1,-1,1), B(2,3,1),C(1,2,3) and D(0,-2,3) are coplanar. Find the equation of the plane containing them.

Let the equations of two planes be P_1: 2x-y+z=2 and P_2: x+2y-z=3 Equation of the plane which passes through the point (-1,3,2) and is perpendicular to each of the plane P_1 and P_2 is (A) x-3y-5z+20=0 (B) x+3y+5z-18=0 (C) x-3y-5z=0 (D) x+3y-5z=0

Consider a plane x+2y+3z=15 and a line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) then find the distance of origin from point of intersection of line and plane.

If A(4, 2, 1), B(2, 1, 0), C(3, 1, -1), D(1, -1, 2) , then the volume of the paralleloP1ped with segments AB, AC, AD as a concurrent edges is

Consider a plane P:2x+y-z=5 , a line L:(x-3)/(2)=(y+1)/(-3)=(z-2)/(-1) and a point A(3, -4,1) . If the line L intersects plane P at B and the xy plane at C, then the area (in sq. units) of DeltaABC is

Find the ratio in which the line segment joining the points (2,-1,3) and (-1,2,1) is divided by the plane x+y+z=5 .

A,B and C are points in the xy plane such that A(1,2);B(5,6) and AC=3BC .Then

A plane bisects the line segment joining (-3,-3,4) and (3,7,6) and also perpendicular to this line,then the point lies on the plane can be (a) (1,-2,3) (b) (1,2,2) (c) (3,-5,2) (d) (3,-1,0)

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. the equationof a plane is 2x-y-3z=5 and A(1,1,1),B(2,1,-3),C(1,-2,-2) ...

    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

    |