Home
Class 12
MATHS
A symmetrical form of the line of inters...

A symmetrical form of the line of intersection of the planes ` x= ay +b and z= cy +d ` is

A

` (x-b)/(a) =(y-1)/( 1) =( z-d)/(c ) `

B

` (x-b-a)/( a) =(y-1)/(1) =(z-d-c)/(c ) `

C

` (x-a)/(b)= ( y-0)/(1) =(z-c)/(d)`

D

` (x-b-a)/(b) =(y-1)/(0) =(z-d-c)/(d)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLA|46 Videos
  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos
  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

The d.r's of the line of intersection of the panes x + y + z -1 =0 and 2x + 3y + 4z + 7=0 are

Let L be the line of intersection of the planes 2x + 3y + z =1 and x + 3y + 2z =2. If L makes an angle alpha, whith the positive x-axis, then cos alpha equals

The equation of the plane through the line of intersection of the planes x + y + z - 6 = 0, 2x + 3y + 4z +5 = 0 and the point (1,1,1) is

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

Find the equations of planes through the line of intersection of the planes 3x-y-4z=0 and x+3y+6=0 and at a distance of 1 unit from the origin.

Consider the planes 3x - 6y - 2z = 15 and 2x + y - 2z =5 Statement-1: The parametic equations of the line of intersection of the given planes are x =3+ 14t, y = 2t, z = 15 t Statement-2: The vector 14 hati + 2 hatj + 15 hatk is parallel to the line of intersection of the given planes.

AAKASH SERIES-REVISION EXERCISE -STRAIGHT LINES
  1. If the projection of a line segment on the x, y and z -axes in 3 dim...

    Text Solution

    |

  2. Let ABC be a triangle with vertices at points A( 2,3,5 ), B ( -1,3,2)...

    Text Solution

    |

  3. The equation of a plane through the line of intersection of the planes...

    Text Solution

    |

  4. Equation of a plane which passes through the point of intersection of ...

    Text Solution

    |

  5. Let A (2,3,5) , B ( -1,3,2) and C( lambda ,5, mu ) be the vertices ...

    Text Solution

    |

  6. A line in 3 dimensional space makes an angle theta (0 lt theta le pi...

    Text Solution

    |

  7. The plane containing the line (x-1)/(1) =(y-2)/( 2) =(z-3)/(3) and ...

    Text Solution

    |

  8. A symmetrical form of the line of intersection of the planes x= ay +b...

    Text Solution

    |

  9. If the distance between the planes 4x -2y - 4z +1 =0 and 4x -2y -4z +...

    Text Solution

    |

  10. Equation of the line of shortest distance between the lines (x)/(1) =...

    Text Solution

    |

  11. If the angle theline 2(x+1)=y=z+4 and the plane 2x-y+sqrt(lambda)z+4=0...

    Text Solution

    |

  12. Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(...

    Text Solution

    |

  13. Let L be the line x-4 =y-2 =(z-7)/(2) and P be the plane 2x - 4y +z =...

    Text Solution

    |

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

    Text Solution

    |

  15. The reflection point of the point (0, 3,-2) " on the line " (1-x)/(...

    Text Solution

    |

  16. A variable plane passes through a fixed point (1,-2,3) and meets the ...

    Text Solution

    |

  17. The distance of the point (1,0,2) from the point of intersection of t...

    Text Solution

    |

  18. The number of distinct real values of lamda for which the lines (x-1)/...

    Text Solution

    |

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

    Text Solution

    |

  20. If the line, (x-3)/(2) = (y+2)/(-1) = (z +4)/(3) lies in the plane, lx...

    Text Solution

    |