Home
Class 12
MATHS
The direction of the line of instersecti...

The direction of the line of instersection of the planes 3x-z = 5 and 2y + x+z = 3 is ....

A

(2,-4,6)

B

(1,-2,3)

C

(-1,2,3)

D

(1,-2,-3)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

The direction of the line of intersection of the planes 2x + 3y + z-1 = 0 and x+y-z-7 = 0 is ..............

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x - y + z = 0.

Find the equation of the plane which is perpendicular to the plane 5x + 3y + 6z + 8 = 0 and which contains the line of intersection of the planes x + 2y + 3z - 4 = 0 and 2x + y - z + 5 = 0.

Find the equation of the plane containing the line of intersection of the plane x + y + z-6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1, 1, 1).

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

Find the direction ratios of intersecting line of two planes 2 x + y + z = 1 and 3x + 2y - z = 3

The equation of the plane passing through the intersection of the planes 2x-5y = z = 3 and x+y+4z = 5 and parallel to the plane x+3y + 6z = 1 is x + 3y + 6z = k is..........

Find the equation of the plane passing through the intersection of the planes x + 2y + 3z-4 = 0 and 2x + y - Z+ 5 = 0 and perpendicular to the plane 5x + 3y + 6z + 8 = 0.

Find the equation of the plane passing through the intersection of the planes 2x - 3y + z-4 = O and x-y + 2 + 1 = 0 and perpendicular to the plane x + 2y - 3z + 6 = 0.

The symmetric from of the equation of the line x + y -z = 1 and 2x -3y + z = 2 is...........

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The plane x-2y + 3z= 2 makes an angle ... With Y-axis.

    Text Solution

    |

  2. If the foot of perpendicular from origin to the plane is (2,1,0) then ...

    Text Solution

    |

  3. The direction of the line of instersection of the planes 3x-z = 5 and ...

    Text Solution

    |

  4. The perpendicular distance of the plane y-2x + 5 = z from the point (0...

    Text Solution

    |

  5. The equation of the passing through the point (2,-1,3) and perpendicul...

    Text Solution

    |

  6. The image of the line (x-1)/(3) = (y-3)/(1) = (z-4)/(-5) in the plane ...

    Text Solution

    |

  7. The equation of the plane whose X- intercept 4,Y - intercept (-6), Z- ...

    Text Solution

    |

  8. The vector equation of the plane 2x-z+1 = 0 is................

    Text Solution

    |

  9. The angle between the planes bar.r (1,2,-1) = 3 and 2x -y + 2z = 2 is ...

    Text Solution

    |

  10. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  11. The angle makes by the plane 2x + 3y + 6z - 15=0 with Y-axis is .........

    Text Solution

    |

  12. The equation of the plane passing through (4,5,-1) and with normal 3 h...

    Text Solution

    |

  13. The sum of the Y and Z intercepts made by the plane 3x + 4y -6z = 12 i...

    Text Solution

    |

  14. If the foot of perpendicular from the origin to the plane is (a,b,0) t...

    Text Solution

    |

  15. The distance of the point (1,-5,9) from the plane x-y + z = 5 measured...

    Text Solution

    |

  16. If the line (x-3)/(2) = (y +2)/(-1) = (z+4)/(3) is in the plane lx + ...

    Text Solution

    |

  17. If the distance between the palens 2x- y + 2z = 1 and 4x-2y + 4z = k...

    Text Solution

    |

  18. If the foot of perpendicular from origin to the plane is (1,2,3) then ...

    Text Solution

    |

  19. If the line (x-4)/(1) = (y-2)/(1) = (z+k)/(2) lies in the plane 2x -4y...

    Text Solution

    |

  20. The direction of the line of intersection of the planes 2x + 3y + z-1 ...

    Text Solution

    |