Home
Class 12
MATHS
If angle theta bertween the line (x+1)/1...

If angle `theta` bertween the line `(x+1)/1=(y-1)/2=(z-2)/2` and the plane `2x-y+sqrt(lambda)z+4=0` is such that `sin theta=1//3,` the value of `lambda` is
a. `-3/5`
b. `5/3`
c. `-4/3`
d. `3/4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2x-y+sqrt(pz)+4=0 is such that sintheta=1/3 , then the values of p is (A) 0 (B) 1/3 (C) 2/3 (D) 5/3

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

The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

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

Find the image of the line (x-1)/3=(y-2)/4=(z-3)/5 on the plane x-2y+z+2=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

If theta the angle between the line (x+1)/(3) = (y-1)/(2) = (z-2)/(4) and the plane 2x + y-3z+ 4 =0, then 64 cosec ^(2) theta is equal to :

Find the equations of the projection of the line (x+1)/- 2=(y-1)/3=(z+2)/4 on the plane 2x+y+4z=1

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

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. A variable plane passes through a fixed point (alpha,beta,gamma) an...

    Text Solution

    |

  2. Show that the straight lines whose direction cosines are given by the ...

    Text Solution

    |

  3. The perpendicular distance of a corner of uni cube from a diagonal not...

    Text Solution

    |

  4. If the direction cosines of a variable line in two adjacent points be ...

    Text Solution

    |

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

    Text Solution

    |

  6. The ratio in which the plane vec rdot (vec i-2 vec j+3 vec k )=17 d...

    Text Solution

    |

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

    Text Solution

    |

  8. The distance between the line vec r=2 hat i-2 hat j+3 hat k+lambda...

    Text Solution

    |

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

    Text Solution

    |

  10. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

    Text Solution

    |

  11. A plane makes intercepts O A ,O Ba n dO C whose measurements are a,b ...

    Text Solution

    |

  12. The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+...

    Text Solution

    |

  13. The shortest distance from the plane 12 x+4y+3z=327 to the sphere ...

    Text Solution

    |

  14. A line makes an angel theta with each of the x-and z-axes. If the ...

    Text Solution

    |

  15. Find the equation of a straight line in the plane vec r* vec n=d ...

    Text Solution

    |

  16. What is the nature of the intersection of the set of planes x+a y+(b...

    Text Solution

    |

  17. Let P1 denote the equation of a plane to which the vector ( hat i+...

    Text Solution

    |

  18. Let P M be the perpendicular from the point P(1,2,3) to the x-y pla...

    Text Solution

    |

  19. If the plane x/2+y/3+z/6=1 cuts the axes of coordinates at points, A ,...

    Text Solution

    |

  20. For what value (s) of a will the two points (1,a,1) and (-3,0,a) lie ...

    Text Solution

    |