Home
Class 12
MATHS
Let A be a point on the line vecr=(1-3mu...

Let A be a point on the line `vecr=(1-3mu)hati+(mu-1)hatj+(2+5mu)hatk` and B (3, 2, 6) be a point in the space. Then the value of `mu` for which the vector `vec(AB)` is parallel to the plane `x-4y+3z=1` is:

A

`1/4`

B

`-1/4`

C

`1/8`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Let A be a point on the line vec(r)=(1-3mu)hati+(mu-1)hatj+(2+5mu)hatk and B(3,2,6) be a point in the space. Then the value of mu for which the vector vec(AB) is parallel to the plane x-4y+3z=1 is: (a) 1/8 (b) 1/2 (c) 1/4 (d) -1/4

Let A be a point on the line vecr = (1- 5 mu) hati + (3mu - 1) hatj + (5 + 7mu )hatk and B (8, 2, 6) be a point in the space. Then the value of mu for which the vector vec(AB) is parallel to the plane x - 4y + 3z = 1 is:

Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat i- hat j+2 hat k)+mu(-3 hat i+ hat j+5 hat k)dot Then the value of mu for which the vector vec P Q is parallel to the plane x-4y+3z=1 is a. 1/4 b. -1/4 c. 1/8 d. -1/8

Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat i- hat j+2 hat k)+mu(-3 hat i+ hat j+5 hat k)dot Then the value of mu for which the vector vec P Q is parallel to the plane x-4y+3z=1 is a. 1/4 b. -1/4 c. 1/8 d. -1/8

The Cartesian equation of the plane vecr=(1+lambda-mu)hati+(2-lambda)hatj+(3-2lambda+2mu)hatk is

Find the Cartesian equation of the following plane: vecr=(lamda-2mu)hati+(3-mu)hatj+(2lamda+mu)hatk .

Let L_(1) be the line vecr_(1)=2hati+hatj-hatk+lamda(hati+2hatk) and let L_(2) be the line vecr_(2)=3hati+hatj-hatk+mu(hati+hatj+hatk) . Let pi be the plane which contains the line L_(1) and is parallel to L_(2) . The distance of the plane pi from the origin is

Find the vector equation of the plane vecr = 2 hati + hatj - 3 hatk + lamda ( 2hatj +hatk) + mu(5 hati + 2 hatj + hatk) in scalar product form.

Show that the line vecr = (hati+hatj-hatk)+lambda(3hati-hatj) vecr = (4hati-hatk)+mu(2hati+3hatk) are coplanar. Also find the equation of plane in which these lines lie.

The Cartesian equation of the plane vecr=(1+lamda-mu)hati+(2-lamda)hatj+(3-2lamda+2mu)hatk is a. 2x+y=5 b. 2x-y=5 c. 2x+z=5 d. 2x-z=5

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. A plane passing through the points (0, –1, 0) and (0, 0, 1) and making...

    Text Solution

    |

  2. If the line, (x-1)/(2) = (y+1)/(3) = (z-2)/(4) meets the plane, x+2...

    Text Solution

    |

  3. Find the vector equation of the plane through the line of intersection...

    Text Solution

    |

  4. The length of the perpendicular from the point (2, -1, 4) on the strai...

    Text Solution

    |

  5. The magnitude of the projection of the vector 2hati+3hatj+hatk on the ...

    Text Solution

    |

  6. The equation of a plane containing the line of intersection of the pla...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. A plane passing through three points (-lamda^2, 1, ) (1, -lamda^2, 1),...

    Text Solution

    |

  9. The perpendicular distance from the origin to the plane containing the...

    Text Solution

    |

  10. Two lines (x-3)/1 = (y+1)/3 = (z-6)/(-1) and (x+5)/7 = (y-2)/(-6) = (z...

    Text Solution

    |

  11. If the point (2 , alpha , beta) lies on the plane which passes throug...

    Text Solution

    |

  12. The plane containing the line (x-3)/2=(y+2)/(-1) =(z-1)/3 and also ...

    Text Solution

    |

  13. The direction ratios of normal of a plane passing through two points (...

    Text Solution

    |

  14. The plane which bisects the line segment joining the points (-3, -3, 4...

    Text Solution

    |

  15. On which of the following lines lies the point of intersection of the ...

    Text Solution

    |

  16. Find the plane passing through (4,-1,2) and parallel to the lines (x+2...

    Text Solution

    |

  17. Let A be a point on the line vecr=(1-3mu)hati+(mu-1)hatj+(2+5mu)hatk a...

    Text Solution

    |

  18. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |

  19. If plane through the intersection fo the planes x+y+z=1 and 2x+3y-z+4=...

    Text Solution

    |

  20. The equation of the line passing through (-4, 3, 1), parallel to the p...

    Text Solution

    |