Home
Class 12
MATHS
A plane P(1) passing through A(1,2,3), B...

A plane `P_(1)` passing through `A(1,2,3), B(3,1,5)` and `C(-1,0,1)` is rotated about the median passing through `A` by right angle. Let `B_(1), C_(1)` be the new positions of `B` and `C` respectively. `P_(2)` be a new plane passes through `A,B_(1),C_(1)` and `P_(3)` be a plane given by the equation`2x+3y+lamdaz=2`, (where `lamdaepsilonR`) Now answer the following:
If planes `P_(1),P_(2)` and `P_(3)` intersect atleast one point then `lamda` can be

A

`0`

B

`1`

C

`4`

D

no such value of `lamda` exists

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A plane P_(1) passing through A(1,2,3), B(3,1,5) and C(-1,0,1) is rotated about the median passing through A by right angle. Let B_(1), C_(1) be the new positions of B and C respectively. P_(2) be a new plane passes through A,B_(1),C_(1) and P_(3) be a plane given by the equation 2x+3y+lamdaz=2 , (where lamdaepsilonR ) Now answer the following: Which of the following is/are CORRECT?

A plane passing through the line joining the points A(1,-3,5) and B(4,1,-1) is turned about AB it passes through the origin.The equation of the plane in the new position is:

The angle between the planes passing through the points A(0,0,0),B(1,1,1),C(3,2,1)& the planes passing through

The equation of the plane passing through the points A(0,-1,0), B(2,1,-1) and C(1,1,1) is given by

If the plane passing through the points (1,2,3),(2,3,1) and (3,1,2) is ax+by+cz=1 then a+2b+3c=

Equation of the plane passing through the points A(2,1,-1), B(3,1,2) and parallel to X-axis, is

The equation of the plane passing through the points A(2,3,-1) B(4,5,2) C(3,6,5) is

A plane passes through the points A(1,2,3), B(2,3,1) and C(2,4,2) . If O is the origin and P is (2,-1,1) , then the projection of vec(OP) on the plane is of length :

RESONANCE-TEST PAPERS-MATHEMATICS
  1. A multiple choice question has n options, of whlch only one is correct...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |