Home
Class 12
MATHS
The direction ratios of the line I1 pass...

The direction ratios of the line `I_1` passing through `P(1, 3, 4)` and perpendicular to line `I_2 (x-1)/(2)=(y-2)/(3)=(z-3)/(4)` (where `I_1 and I_2` are coplanar) is

A

`14, 8, 1`

B

`-14, 8, -1`

C

`14, -8, -1`

D

`-14, -8, 1`

Text Solution

Verified by Experts

The correct Answer is:
(c)
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

Find the equation of the line passing through A(0,1,2) and perpendicular to line (x-1)/2=(y+1)/2=(z-1)/3

Equatin of the line passing through (-1, 1) and perpendicular to the line 2x +3y +4 =0 is

Equation of the line passing through (1,1,1) and perpendicular to the plane 2x+3y-z-5=0 is

Equation of a line passing through (-1,2,-3) and perpendicular to the plane 2x+3y+z+5=0 is

Find the equation of the line passing through the point (3,1,2) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3 and x/(-3)=y/2=z/5

Find the equation of the line passing through the point (2, 1, 3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3andx/(-3)=y/2=z/5

(i) Find the vector and cartesian equation of the line passing through the point (1,2,-4) and perpendicular to the two lines : (x - 8)/(3) = (y + 19)/(-16) = (z - 10)/(7) and (x - 15)/(3) = (y - 19)/(8) = (z - 5)/(-5) . (ii) Find the vector and cartesian equations of the line passing through the point (2,1,3) and perpendicular to the lines : (x -1)/(1) = (y -2)/(2) = (z - 3)/(3) and (x)/(-3) = (y)/(2) = (z)/(5) .

Find the equation of the line passing throught the point ( 2,1, 3 ) and perpendicular to the lines ( x - 1 ) /( 1 ) = ( y - 2 ) /( 2 ) = (z - 3 ) /( 3 ) and ( x ) /(- 3 ) = ( y ) /(2) = (z) /( 5 ) .

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
  1. The shortest distance of a point (1, 2, -3) from a plane making interc...

    Text Solution

    |

  2. A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...

    Text Solution

    |

  3. The direction ratios of the line I1 passing through P(1, 3, 4) and per...

    Text Solution

    |

  4. Equation of the plane through three points A, B and C with position ve...

    Text Solution

    |

  5. OABC is a tetrahedron. The position vectors of A, B and C are I, i+j a...

    Text Solution

    |

  6. The plane x-y-z=4 is rotated through an angle 90^(@) about its line of...

    Text Solution

    |

  7. A(xy),(yz),A(zx) be the area of projections oif asn area a o the xy,yz...

    Text Solution

    |

  8. Through a point P(h,k,l) a plane is drawn at righat angle to OP to mee...

    Text Solution

    |

  9. The volume of the tetrahedron included between the plane 3x+4y-5z-60=0...

    Text Solution

    |

  10. The angle between the lines whose direction cosines are given by the ...

    Text Solution

    |

  11. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

    Text Solution

    |

  12. The cartesian equations of the plane perpendicular to the line (x-1)/(...

    Text Solution

    |

  13. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

    Text Solution

    |

  14. A plane makes interceptsOA, OB and OC whose measurements are a, b and ...

    Text Solution

    |

  15. The radius of the circle in which the sphere x^2+y^2+z^2+2x-2y-4z-19=0...

    Text Solution

    |

  16. Let veca=hati+ hatj and vecb = 2hati-hatk . The point of intersection ...

    Text Solution

    |

  17. The co-ordinate of the point P on the line r=(hat(i)+hat(j)+hat(k))+la...

    Text Solution

    |

  18. The 3-dimensional vectors v1, v2, v3 satisfying v1cdotv1=4, v1cdotv2=-...

    Text Solution

    |

  19. The points hat(i)-hat(j)+3hat(k) and 3hat(i)+3hat(j)+3hat(k) are equi...

    Text Solution

    |

  20. A, B, C and D are four points in space. Using vector methods, prove th...

    Text Solution

    |