Home
Class 12
MATHS
Consider a plane x+y-z=1 and point A(1, ...

Consider a plane `x+y-z=1` and point `A(1, 2, -3)`. A line L has the equation `x=1 + 3r, y =2 -r and z=3+4r`.
The coordinate of a point B of line L such that AB is parallel to the plane is

A

`x-3y+5=0`

B

`x+3y-7=0`

C

`3x-y-1=0`

D

`3x+y-5=0`

Text Solution

Verified by Experts

The correct Answer is:
(b)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 9 : Match Type Questions|7 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

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

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Consider a plane x+y-z=1 and point A(1, 2, -3) . A line L has the equation x=1 + 3r, y =2 -r and z=3+4r . The equation of the plane containing line L and point A has the equation

The equation of the plane through the point (1,2,3) and parallel to the plane x+2y+5z=0 is

Find the equation of a plane passes through the point (1,-2,4) and parallel to the plane 3x- y+3+2z+5=0 .

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

Find the equation of the plane passes through the point (1,-3,1) and parallel to the plane 2x+3y+z=1 .

Find the equation of plane through the line of intersection of the planes 3x – 4y + 5z = 10, 2x +2y-3z=4 and parallel to the line x=2y=3z

Consider the equation of line AB is (x)/(2)=(y)/(-3)=(z)/(6) . Through a point P(1, 2, 5) line PN is drawn perendicular to AB and line PQ is drawn parallel to the plane 3x+4y+5z=0 to meet AB is Q. Then,

Find the equations of the line passing through the point (3,0,1) parallel to the planes x+2y=0 and 3y-z=0 .

Find the equations of the line passing through the point (3,0,1) parallel to the planes x+2y=0 and 3y-z=0 .

ARIHANT MATHS ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangl...

    Text Solution

    |

  2. Consider a plane x+y-z=1 and point A(1, 2, -3). A line L has the equat...

    Text Solution

    |

  3. Consider a plane x+y-z=1 and point A(1, 2, -3). A line L has the equat...

    Text Solution

    |

  4. Consider a triangular pyramid ABCD the position vectors of whone agula...

    Text Solution

    |

  5. Consider a triangular pyramid ABCD the position vectors of whose angul...

    Text Solution

    |

  6. Consider a triangular pyramid ABCD the position vectors of whone agula...

    Text Solution

    |

  7. Consider a triangular pyramid ABCD the position vectors of whose angul...

    Text Solution

    |

  8. A line L1 passing through a point with position vector p=i+2j+3k and ...

    Text Solution

    |

  9. A line L1 passing through a point with position vector p=i+2h+3k and ...

    Text Solution

    |

  10. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

  11. For positive l, m and n, if the points x=ny+mz, y=lz+nx, z=mx+ly inter...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If vec a=6hat(i)+7hat(j)+7hat(k), find the unit vector along with this...

    Text Solution

    |

  15. If A(-2,2,3)a n dB(13 ,-3,13) are two points. Find the locus of a poin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Expand |(3, 6), (5,0)|

    Text Solution

    |

  19. If b be the foot of perpendicular from A to the plane rcdothat(n)=d, t...

    Text Solution

    |

  20. What is vector equation of the line

    Text Solution

    |