Home
Class 12
MATHS
Let P(3,2,6) be a point in space and Q b...

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

A

`1//4`

B

`-1//4`

C

`1//8`

D

`-1//8`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|23 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT-BASED (SINGLE CORRECT ANSWER TYPE QUESTIONS ))|15 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1( SINGLE CORRECT ANSWER TYPE QUESTIONS))|55 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

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

A point on the line vec r=2hat i+3hat j+4hat k+t(hat i+hat j+hat k) is

Let A be a point on the line vec r=(1-3 mu)hat i+(mu-1)hat j+(2+5 mu)hat k 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)

vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+mu(2hat i+4hat j-5hat k)

If line vec r=( hat i-2 hat j- hat k)+lambda(2 hat i+ hat j+2 hat k) is parallel to the plane vec r.(3 hat i-m hat k)=14 , then the value of m is (1). 2 (2) -2 (3) 0 (4) 3

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

vec a=hat i+hat j+hat k,vec b=2hat i-hat j+3hat k and vec c=hat i-2hat j+hat k find a unit vector in a direction parallel to vector (2vec a-vec b+3vec c)

If quad vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k find |3vec a-2vec b+4vec c|

vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k,f in d|3vec a-2vec b+4vec c|

Find the angle between the line: vec(r) = (hat(i) - hat(j) + hat(k) ) + lambda (2 hat(i) - hat(j) + 3 hat(k)) and the plane vec(r). (2 hat(i) + hat(j) - hat(k) ) = 4. Also, find the whether the line is parallel to the plane or not.

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -SOLVED EXAMPLES (LEVEL 2( SINGLE CORRECT ANSWER TYPE QUESTIONS))
  1. Find the vector equation of a line passing through 3 hat i-5 hat j+...

    Text Solution

    |

  2. If the perpendicular distance of a point A, other than the origin from...

    Text Solution

    |

  3. If d(1),d(2),d(3) denote the distances of the plane 2x-3y+4z=0 from th...

    Text Solution

    |

  4. Equation of the plane containing the lines. r=i+2j-k+lambda(i+2j-k) ...

    Text Solution

    |

  5. Show that the foot of the perpendicular from the origin to the join of...

    Text Solution

    |

  6. Cosine of the angle between the lines whose vector equations are r=3i+...

    Text Solution

    |

  7. Find the equation of the plane through the line of intersection of ve...

    Text Solution

    |

  8. If 1,m ,n are the direction cosines of the line of shortest distance b...

    Text Solution

    |

  9. Equation of the line through the point (2,-1,1) and the intersection o...

    Text Solution

    |

  10. Under what condition do the planes bx-ay=n,cy-bz=l,az-cx=m intersect ...

    Text Solution

    |

  11. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

    Text Solution

    |

  12. A variable plane at distance of 1 unit from the origin cuts the coordi...

    Text Solution

    |

  13. A plane passes through (1,-2,1) and is perpendicualr to two planes 2x...

    Text Solution

    |

  14. A line with positive direction cosines passes through the point P(2, –...

    Text Solution

    |

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

    Text Solution

    |

  16. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

    Text Solution

    |

  17. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha...

    Text Solution

    |

  18. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  19. (i) Find the equation of the plane passing through the points(2,1,0...

    Text Solution

    |

  20. If the distance between the plane Ax-2y+z=d and the plane containing ...

    Text Solution

    |