Home
Class 12
MATHS
The plane x-y-z=2 is rotated through 90^...

The plane `x-y-z=2` is rotated through `90^(@)` about its line of intersection with the plane `x+2y+z=2`. The distance of `(-1,-2,-1)` from the plane in the new position is `lamda sqrt(6/7)`. Then the value of `lamda` is equal to

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The plane x-y-z=4 is rotated through an angle 90^(@) about its line of intersection with the plane x+y+2z=4 . Then the equation of the plane in its new position is

If the plane x+y+z=1 is rotated through 90^(@) about its line of intersection with the plane x-2y+3z=0, the new position of the plane is

The plane x-y-z=4 is rotated through 90^(@) about tits line of intersection with the plane x+y+2z=4. Find its equation in the new position,

The plane x-2y+3z=0 is rotated through a right angle about the line of intersection with the plane 2x+3y-4z-5=0, find the equation of the plane in its new position.

The plane x- y - z = 2 is rotated through an angle pi/2 about its line of intersection with the plane x + 2y + z = 2 . Find its equation in the new position.

The plane ax+by=0 is rotated through an angle alpha about its line of intersection with the plane z=0. Show that he equation to the plane in the new position is aby+-z sqrt(a^(2)+b^(2))and alpha=0

The plane 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with the plane 5x+3y+10z=25 . If the equation of the plane in its new position is x-4y+6z=K , then the value of K is

The plane ax+by=0 is rotated through an angle alpha about its line of intersection with the plane z=0 . Show that the equation to the plane in new position is ax+bypmzsqrt(a^2+b^2)tanalpha=0 .

RESONANCE-TEST PAPERS-MATHEMATICS
  1. A plane P(1) passing through A(1,2,3), B(3,1,5) and C(-1,0,1) is rotat...

    Text Solution

    |

  2. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

    Text Solution

    |

  3. The plane x-y-z=2 is rotated through 90^(@) about its line of intersec...

    Text Solution

    |

  4. The volume of a tetrahedron having vertices A(1,1,1),B(1,2,4),C(3,1,-2...

    Text Solution

    |

  5. The number of integral values of a in [0,10) so that function, f(x)=x^...

    Text Solution

    |

  6. A boy has 3 library tickets and 8 books of his interest in the library...

    Text Solution

    |

  7. If the normal to the ellipse (x^(2))/9+(y^(2))/4=1 which is farthest f...

    Text Solution

    |

  8. Find the area of the greatest isosceles triangle that can be inscri...

    Text Solution

    |

  9. If the range of the function y=(x-1)/(x+1) on the interval 0lexle4 be ...

    Text Solution

    |

  10. Two smallest squares are chose at random on a chess board and p/q is t...

    Text Solution

    |

  11. There are four bags. The first bag contains 10 identical red balls, th...

    Text Solution

    |

  12. When two dice are thrown n number of times, the probabililty of gettin...

    Text Solution

    |

  13. Let ngeq2 be integer. Take n distinct points on a circle and join each...

    Text Solution

    |

  14. if veca and vecb non-zero ad non-collinear vectors, then

    Text Solution

    |

  15. The number of ways of choosing triplet (x , y ,z) such that zgeqmax{x,...

    Text Solution

    |

  16. The number of isosceles Deltas with integer sides if no side exeeds 20...

    Text Solution

    |

  17. if E(1) and E(2) are two events such that P(E(1))=(1)/(4),P((E(2))/(E(...

    Text Solution

    |

  18. Consider the quadratic equation az^(2)+bz+c=0 where a,b,c are non-zero...

    Text Solution

    |

  19. Consider the quadratic equation az^(2)+bz+c=0 where a,b,c are non-zero...

    Text Solution

    |

  20. Lines whose equation are (x-3)/2=(y-2)/3=(z-1)/(lamda) and (x-2)/3=(y-...

    Text Solution

    |