Home
Class 12
MATHS
The ratio in which the plane vecr.( hati...

The ratio in which the plane `vecr.( hati-2 hatj+3 hatk)=17` divides the line joining the points `-2 hati+4 hatj+7 hatk and 3 hati-5 hatj+8 hatk` Is __

A

`3:5`

B

`1:10`

C

`3:10`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-2|42 Videos
  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos
  • THREE DIMENSIONAL GEOMETRY

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

The ratio in which hati + 2 hatj + 3 hatk divides the join of -2hati + 3 hatj + 5 hatk and 7 hati - hatk , is

Find the mid point of the line segment joining the points P(2hati+3hatj+3hatk) and Q(4hati+hatj-2hatk)

The angle between the planes vecr. (2 hati - 3 hatj + hatk) =1 and vecr. (hati - hatj) =4 is

The angle between the line vecr = ( 5 hati - hatj - 4 hatk ) + lamda ( 2 hati - hatj + hatk) and the plane vec r.( 3 hati - 4 hatj - hatk) + 5=0 is

If the point of intersection of the line vecr = (hati + 2 hatj + 3 hatk ) + lambda( 2 hati + hatj+ 2hatk ) and the plane vecr (2 hati - 6 hatj + 3 hatk) + 5=0 lies on the plane vec r ( hati + 75 hatj + 60 hatk) -alpha =0, then 19 alpha + 17 is equal to :

The position vector of the point in which the line joining the points hati-2hatj+hatk and 3hatk-2hatj cuts the plane through the origin and the points 4hatj and 2hati+hatk is

The ratio in which the line segment joining the points whose position vectors are 2hati-4hatj-7hatkand-3hati+5hatj-8hatk is divided by the plane whose equation is hatr.(hati-2hatj+3hatk)=13 is

Find the perpendicular distance of P(-hati+2hatj+6hatk) from the line joining A(2hati+3hatj-4hatk) andB(8hati+6hatj-8hatk)

Prove that the plane vecr*(hati+2hatj-hatk)=3 contains the line vecr=hati+hatj+lamda(2hati+hatj+4hatk).

Find the angle between the planes vecr.(hati+hatj-2hatk)=3 and vecr.(2hati-2hatj+hatk)=2 2

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-1
  1. The equation of the line passing though the point (1,1,-1) and perpend...

    Text Solution

    |

  2. The equation of the plane through (2,3,4) and parallel to the plane x+...

    Text Solution

    |

  3. perpendicular distance of the origin from the plane which makes interc...

    Text Solution

    |

  4. The shortest distance between the lines (x-3)/(2) = (y +15)/(-7) = (z...

    Text Solution

    |

  5. The equation of the plane containing the line vecr= veca + k vecb and ...

    Text Solution

    |

  6. If the lines x=a(1)y + b(1), z=c(1)y +d(1) and x=a(2)y +b(2), z=c(2)y ...

    Text Solution

    |

  7. Let two planes p (1): 2x -y + z =2 and p (2) : x + 2y - z=3 are given ...

    Text Solution

    |

  8. Let two planes p (1): 2x -y + z =2 and p (2) : x + 2y - z=3 are given ...

    Text Solution

    |

  9. Find the shortest distance between the lines (x-23)/(-6) = (y-19)/(-4)...

    Text Solution

    |

  10. L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2) ...

    Text Solution

    |

  11. Let L1 and L2 be two lines such that L(2) : (x+1)/-3=(y-3)/2=(z+2)/1...

    Text Solution

    |

  12. Let L1 and L2 be two lines such that L(2) : (x+1)/-3=(y-3)/2=(z+2)/1...

    Text Solution

    |

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

    Text Solution

    |

  14. Find the equation of line of intersection of the planes 3x-y+ z=1 and...

    Text Solution

    |

  15. Find the distance of the point (1, -2, 3) from the plane x-y+z=5 measu...

    Text Solution

    |

  16. Find the equation of the plane through the line x/l=y/m=z/n and perpe...

    Text Solution

    |

  17. The ratio in which the plane vecr.( hati-2 hatj+3 hatk)=17 divides the...

    Text Solution

    |

  18. The equation of the plane containing the line vecr=hati+hatj+lamda(2...

    Text Solution

    |

  19. Equation of plane passing through (2,3,4) and parallel to the plane x+...

    Text Solution

    |

  20. Find the shortest distance between the z-axis and the line, x+y+2z-3=0...

    Text Solution

    |