Home
Class 12
MATHS
A line L1 passing through a point with ...

A line `L_1` passing through a point with position vector `p=i+2h+3k` and parallel `a=i+2j+3k`, Another line `L_2` passing through a point with position vector to `b=3i+j+2k`.
Q. The minimum distance of origin from the plane passing through the point with position vector p and perpendicular to the line `L_2`, is

A

a. `(x-2)/(2)=(y-3)/(-1), (z-2)/(1)`

B

b. `(x-2)/(2)=y+3=z-2`

C

c. `(x-2)/(-4)=(y+3)/(3), (z-5)/(2)`

D

d. `(x+2)/(4)=(y+3)/(3), (z-2)/(-5)`

Text Solution

Verified by Experts

The correct Answer is:
(c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 9 : Match Type Questions|7 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 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

A line L_1 passing through a point with position vector p=i+2h+3k and parallel a=i+2j+3k , Another line L_2 passing through a point with direction vector to b=3i+j+2k . Q. The minimum distance of origin from the plane passing through the point with position vector p and perpendicular to the line L_2 , is

Find the equation of the line passing through the point with position vector hati-hatj+2hatk and perpendicular to the plane vecr.(2hati-hatj+3hatk)=5 .

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

Equations of the line which passe through the point with position vector (2, 1, 0) and perpendicular to the plane containing the vectors i+j and j+k is

Find the vector equation of a plane passing through the point having position vector 2hati+hatj+hatk and perpendicular to the vector: 4hati-2hatj+3hatk .

Find the vector equation of a line passing through 3 hat i-5 hat j+7 hat k and perpendicular to the plane 3x-4y+5z=8.

A line L_1 passes through the point 3i and parallel to the vector − i + j + k and another line L_2 passes through the point i + j and parallel to the vector i + k then point of intersection of the lines is

Find the vector equation of a line passing through the point with position vector hati-2hatj-3hatk and parallel to the line joining the points with position vectors hati-hatj+4hatk and 2hati+hatj+2hatk . Also find the cartesian form of the equation.

A line passes through the point (2,2) and is perpendicular to the line 3x + y =3, then its y -intercept is

A line passes through point (2, 2) and perpendicular to the line 3x + y = 3. Then y - intercept is :

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Passage Based Questions)
  1. Consider a triangular pyramid ABCD the position vectors of whone agula...

    Text Solution

    |

  2. A line L1 passes through the point 3i and parallel to the vector − i +...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. What is vector equation of the line

    Text Solution

    |

  16. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  17. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  18. A circle is the locus of a point in a plane such that its distance fro...

    Text Solution

    |

  19. Let A(2, 3, 5), B(-1, 3, 2), C(lambda, 5, mu) are the vertices of a tr...

    Text Solution

    |

  20. let vec a = 2hat i +3hat j and vec b = hat i +4hat j then find project...

    Text Solution

    |