Home
Class 12
MATHS
The equations of the plane which passe...

The equations of the plane which passes through `(0,0,0)` and which is equally inclined to the planes `x-y+z-3=0a n d x+y+z+4=0` is/are a. `y=0` b. `x=0` c. `x+y=0` d. `x+z=0`

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE PUBLICATION|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0 and x+y+z+4=0 is/ are__

Find the equation of a plane which passes through the point (1, 2, 3) and which is equally inclined to the planes x-2y+2z-3=0 and 8x-4y+z-7=0 .

Find the equation of the plane which passes through the point (2,1,4) and is prependicular to each of the planes 9x-7y+6z+48=0 and x+y-z=0

Find the equation of the plane which passes through the point (2,1,-1) and is orthogonal to each of the planes x-y+z=1 and 3x+4y-2z=0 .

Show that the equation of the plane which passes through the point (1,2,3) and parallel to the plane 3x+4y-5z=0 is 3x+4y-5z+4=0 .

Find the equation of the sphere which passes through (1,0,0),(0,1,0) and (0,0,1) and whose centre lies on the plane 3x-y+z=2.

Find the equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes x+2y+3z=5a n d3x+3y+z=0.

Prove that the equation of the plane which passes through the point (-1,3,2) and is prependicular to the planes x+2y+2z=5 and 3x+3y+2z=8 is 2x-4y+3z+8=0 .

Find the equation of the plane which pasees through the point (-2,1,3) and also through the intersection of the planes 2x-7y+4z=0 and 3x-5y+4z+11=0 .

Find the equation of the plane passing through the point (1,1,-1,) and prependicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0 .

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The equation of the plane which is equally inclined to the lines (x-...

    Text Solution

    |

  2. Which of the following lines lie on the plane x+2y-z+4=0? a. (x-1)...

    Text Solution

    |

  3. The equations of the plane which passes through (0,0,0) and which is...

    Text Solution

    |

  4. The x-y plane is rotated about its line of intersection with the y-...

    Text Solution

    |

  5. Consider the planes 3x-6y+2z+5=0a n d4x-12y+3z=3. The plane 67 x-162 y...

    Text Solution

    |

  6. A variable plane x/a+y/b+z/c=1 at a unit distance from origin cuts the...

    Text Solution

    |

  7. Let P=0 be the equation of a plane passing through the line of inte...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. A point P moves on a plane x/a+y/b+z/c=1. A plane through P and perpen...

    Text Solution

    |

  10. If x=c y+b z ,y=a z+c x ,z=bx+a y ,w h e r e .x ,y ,z are not all ze...

    Text Solution

    |

  11. Find the equation of the plane passing through the points (1,0,-1)a...

    Text Solution

    |

  12. A variable plane passes through a fixed point (alpha,beta,gamma) an...

    Text Solution

    |

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

    Text Solution

    |

  14. The perpendicular distance of a corner of unit cube from a diagonal no...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Column I, Column II A tx=1,f(x)={logx ,x<1 2x-x^2, xgeq1 , p. is ...

    Text Solution

    |

  19. The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambd...

    Text Solution

    |

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

    Text Solution

    |