Home
Class 12
MATHS
If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(2...

If the line `(x-2)/(3)=(y+1)/(2)=(z-1)/(2)` intersects the plane `2x+3y-z+13=0` at a point P and plane `3x+y+4z=16` at a point Q then PQ is equal to

A

`14`

B

`sqrt(14)`

C

`2sqrt(7)`

D

`2sqrt(14)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

Similar Questions

Explore conceptually related problems

If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the plane 2x+3y-z+13=0 at a point P and the plane 3x+y+4z=16 at a point Q, then PQ is equal to

Line (x-2)/(-2) = (y+1)/(-3) = (z-5)/1 intersects the plane 3x+4y+z = 3 in the point

The line (x-1)/2=(y-2)/3=(z-3)/4 meets the plane 2x+3y-z=14 in the point

Find the coordinates of the point,where the line (x-2)/(3)=(y+1)/(4)=(z-2)/(2) intersects the plane x-y+z-5=0 .Also find the angle between the line and the plane.

Find the coordinates of the point where the line (x-2)/(3)=(y+1)/(4)=(z-2)/(2) intersect the plane x-y+z-5=0. Also,find the angel between the line and the plane.

The point of intersection of the line (x)/(1)=(y-1)/(2)=(z+2)/(3) and the plane 2x+3y+z=0 is

Line (x-1)/2= (y-2)/3=(z-3)/4 intersects the plane 3x+6y+5z = 0 in the point A . Then the direction ratios of the line OA are

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .

JEE MAINS PREVIOUS YEAR-JEE MAINS-Physics
  1. If the line (x-2)/(3)=(y+1)/(2)=(z-1)/(2) intersects the plane 2x+3y-z...

    Text Solution

    |

  2. The moment of inertia of a solid sphere, about an axis parallel to its...

    Text Solution

    |

  3. A load of mass M kg is suspended from a steel wire of length 2 m and r...

    Text Solution

    |

  4. In the value circuit, C=(sqrt(3))/(2)muF,R2=20omega, L=sqrt(3)/(10)H, ...

    Text Solution

    |

  5. An ideal gas is enclosed in a cylinder at pressure of 2 atm and temper...

    Text Solution

    |

  6. In the figure, given that V(BB) supply can vary from 0 to 5.0V,V(CC)=5...

    Text Solution

    |

  7. In the circuit shown, find C if the effective capacitance of the whole...

    Text Solution

    |

  8. An alpha-particle of mass m suffers 1-dimentinal eleastic collision wi...

    Text Solution

    |

  9. A 10 m long horizontal wire extends from North east ro South East. It ...

    Text Solution

    |

  10. To double the covering range of a TV transmittion tower, its height sh...

    Text Solution

    |

  11. A plano-convex lens (focal length f2, refractive indexmu(2), radius of...

    Text Solution

    |

  12. A vertical closed cylinder is separated into two parts by a frictionle...

    Text Solution

    |

  13. Two satellites, A and B, have masses m and 2m respectively. A is in a ...

    Text Solution

    |

  14. A long cylinderical vessel is half filled with a liquid. When the vess...

    Text Solution

    |

  15. A block kept on a rough inclined plane ,as shown in the figure, remain...

    Text Solution

    |

  16. In a Frank-Hertz experiment,an electron of energy 5.6eV passes through...

    Text Solution

    |

  17. A particle of mass 20 g is released with an initial velocity 5m//s alo...

    Text Solution

    |

  18. A galavanometer, whose resistance is 50 ohm has 25 divisions in it. Wh...

    Text Solution

    |

  19. A soap bubble,blown by a mechanical pump at the mouth of a tube, incre...

    Text Solution

    |

  20. In the given circuit diagram, the currents, I1=-0.3A,I4=0.8A and I5=0....

    Text Solution

    |

  21. A resonance tube is old and has jagged end. It is still used in the la...

    Text Solution

    |