Home
Class 12
MATHS
If the angle between the line x=(y-1)/(2...

If the angle between the line `x=(y-1)/(2)=(z-3)(lambda)` and the plane `x+2y+3z=4 is cos^(-1)(sqrt((5)/(14)))`, then `lambda` equals

A

`2/3`

B

`2/5`

C

`5/3`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the plane 2x+y-3z+4=0.

find the angle between the line (x+1)/2=y/3=(z-3)/6 and the plane is 10x+2y-11z=3

Find the angle between the line (x-1)/1=(y-2)/(-1)=(z+1)/1 and the plane 2x+y-z=4.

Find the angle between the lines (x+1)/(2)=(y)/(3)=(z-3)/(6) and the planes 3x+y+z=7 .

Find the angle between the line (x+1)/2=y/3=(z-3)/6 and the plane 10 x + 2y -11 z = 3 .

Find the angle between the line (x-1)/3=(y+1)/2=(z-1)/4 and plane 2x + y - 3z + 4 = 0.

Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y-3z+4=0.

The sine of the angle between the line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) and the plane 2x-2y+z=5 is

Find the angle between the line (x+1)/2=(3y+5)/9=(3-z)/(-6) and the plane 10 x+2y-11 z=3

Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and the plane x+y+z+3=0.

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)
  1. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

    Text Solution

    |

  2. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

    Text Solution

    |

  3. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

    Text Solution

    |

  4. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

    Text Solution

    |

  5. The length of the perpendicular drawn from the point (3, -1, 11) to th...

    Text Solution

    |

  6. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  7. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

    Text Solution

    |

  8. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

    Text Solution

    |

  9. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

    Text Solution

    |

  10. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

    Text Solution

    |

  11. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

    Text Solution

    |

  12. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

    Text Solution

    |

  13. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  14. If a line makes an angle of pi/4 with the positive directions of each ...

    Text Solution

    |

  15. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

    Text Solution

    |

  16. The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...

    Text Solution

    |

  17. the image of the point (-1,3,4) in the plane x-2y=0 a.(-(17)/(3),(19)/...

    Text Solution

    |

  18. If angle theta bertween the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane...

    Text Solution

    |

  19. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

    Text Solution

    |

  20. A line makes the same angle theta with X-axis and Z-axis. If the angle...

    Text Solution

    |