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 vector equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0.

Find the equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z=5.

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

Find the vector and cartesian equations of the line passing through the point (2,1,3) and perpendicualr to thelines : (x-1)/1=(y-2)/2=(z-3)/3 and x/-3=y/2=z/5

Find the vector and cartesian equation 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)/(-2)=(y)/(2)=(z)/(5)

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

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

Find the direction cosines of the line passing through the points P(2,3,5), and Q(-1,2,4).

Find the equation of line through (1, 2, -1) and perpendicular to each of the lines (x)/(1)=(y)/(0)=(z)/(-1) and (x)/(3)=(y)/(4)=(z)/(5) .

Find the equations of the straight line passing through the point (2, 3, -1) and is perpendicular to the lines : (x-2)/2=(y+1)/1=(z-3)/3 and (x-3)/1=(y+2)/1=(z-1)/1 .

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 of O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C...

    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),A(yz),A(zx) be the area of projections of an area on the xy,yz a...

    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. Find the angle between the lines whose direction cosine are given by...

    Text Solution

    |

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

    Text Solution

    |

  12. Differentiate x^5 with respect to x.

    Text Solution

    |

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

    Text Solution

    |

  14. A plane makes intercepts OA, OB and OC whose measurements are b and c ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. The coordinates of the point P on the line vec r=( hat i+ hat j+ ha...

    Text Solution

    |

  18. Find 3-dimensional vectors vec v1,vec v2,vec v3 satisfying vec v1* ve...

    Text Solution

    |

  19. The position vectors of points a and b are hat(i)-hat(j)+3hat(k) and 3...

    Text Solution

    |

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

    Text Solution

    |