Home
Class 12
MATHS
The equation of the plane through the li...

The equation of the plane through the line of intersection of the planes `ax+by+cz+d=0anddx+b'y+c'z+d'=0` and parallel to the line `y=0andz=0` is

A

`(ab'-a'b)x+ (bc'-b'c) y+ (ad'-ad)=0`

B

`(ab'-a 'b) x+ (bc'-b'c) y+ (ad'-ad') z=0`

C

`(ab'- 'b) x + (bc' b'c) y+ (ad'- ad')z=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-2|42 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 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

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The equation of the plane passing through the line of intersection of the planes x+y+z+3 =0 and 2x-y + 3z +2 =0 and parallel to the line (x)/(1) = (y)/(2) = (z)/(3) is

Find the equation of plane through the line of intersection of the planes 3x – 4y + 5z = 10, 2x +2y-3z=4 and parallel to the line x=2y=3z

The equation of the plane through the intersection of the plane a x+b y+c z+d=0\ a n d\ l x+m y+n+p=0 and parallel to the line y=0,\ z=0. (A) (b l-a m)y+(c l-a n)z+d l-a p=0 (B) (a m-b l)x+(m c-b n)z+m d-b p=0 (c) (n a-c l)d+(b n-c m)y+n d-c p=0 (D) None of these

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

Find the equation of the plane passing through the line of intersection of the planes 2x + y - Z = 3,5x - 3y + 4z + 9 = 0 and parallel to the line (x-1)/2=(y-3)/4=(z-5)/5

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5, which is perpendicular to the plane x - y + z = 0.

Find the equation of a line passing through the point of intersection of the lines x+3y+1=0 and 2x-y+3=0 and parallel to the line 3x-2y+1=0 .

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-1
  1. For the l:(x-1)/3=(y+1)/2=(z-3)/(-1) and the plane P:x-2y-z=0 of the f...

    Text Solution

    |

  2. If the point of intersection of the line vecr = (hati + 2 hatj + 3 h...

    Text Solution

    |

  3. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  4. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

    Text Solution

    |

  5. p (2,3,-4) ,vecb =2 hati - hatj + 2 hatk Vector equation of a plane ...

    Text Solution

    |

  6. p (2,3,-4) ,vecb =2 hati - hatj + 2 hatk Cartesian equation of a pla...

    Text Solution

    |

  7. p (2,3,-4) ,vecb =2 hati - hatj + 2 hatk Cartesian equation of a pla...

    Text Solution

    |

  8. If theta the angle between the line (x+1)/(3) = (y-1)/(2) = (z-2)/(4) ...

    Text Solution

    |

  9. A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z = 4 ...

    Text Solution

    |

  10. The coordinates of the point were the line joining the points (2,-3,1...

    Text Solution

    |

  11. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

    Text Solution

    |

  12. The equation (x-1)(x-2)=0 in thre dimensional space is represented by ...

    Text Solution

    |

  13. If p (1) =0 and p (2) =0 be two non-parallel planes, then the equation...

    Text Solution

    |

  14. If vecr = hati + hatj + lamda( 2 hati + hatj + 4 hatk ) and vecr (hati...

    Text Solution

    |

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

    Text Solution

    |

  16. The direction ratio's of the line x- y+z-5=0=x-3y -6 are

    Text Solution

    |

  17. A tetrahedron is three dimensional figure bounded by four non coplanar...

    Text Solution

    |

  18. A tetrahedron is three dimensional figure bounded by four non coplanar...

    Text Solution

    |

  19. A tetrahedron is three dimensional figure bounded by four non coplanar...

    Text Solution

    |

  20. Find the perpendicular distance of an angular point of a cube from a d...

    Text Solution

    |