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

The equation of the plane through the intersection of the planes `x+2y+3z-4=0 and 4x+3y+2z+1=0` and passing through the origin is (a) `17x+14y+11z=0` (b) `7x+4y+z=0` (c) `x+14+11z=0` (d) `17x+y+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

Find the equation of the plane passing through the intersection of the planes 2x+y+2z=9" and " 4x-5y-4z=1 and through the point (3,2,-1).

The equation of the plane through the line of intersection of the planes 2x+y-z+5=0 and x+2y+3z=4 and perpendicular to the plane 5x+3y+6z=10 is -

Find the equation of a plane containing the line of intersection of the planes x+y+z-6=0a n d2x+3y+4z+5=0 passing through (1,1,1) .

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

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

The symmetrical from of the lines x+y+z-1=0 and 4x+y-2z+2=0 are -

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1) and (x+3)/8=(y-4)/1=z/(-4) and passing through the origin is/are a. 14 x-5y-7z=0 b. 2x+7y-z=0 c. 3x-4y-z=0 d. x+2y-5z=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 .

The equation of the plane passing through the point (1, -2, 3) and perpendicular to each of the planes 3x-4y+z=7 and 2x+3y-4z=8 is -

Find the plane of the intersection of x^2+y^2+z^2+2x+2y+2=0 and 4x^2+4y^2+4z^2+4x+4y+4z-1=0.

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. A plane passes through a fixed point (a,b,c). The locus of the foot of...

    Text Solution

    |

  2. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |

  3. The equation of the plane through the intersection of the planes x+2y...

    Text Solution

    |

  4. The plane 4x+7y+4z+81=0 is rotated through a right angle about its ...

    Text Solution

    |

  5. The vector equation of the plane passing through the origin and the ...

    Text Solution

    |

  6. The lines vec r= vec a+lambda( vec bxx vec c)a n d vec r= vec b+mu( v...

    Text Solution

    |

  7. The projection of the line (x+1)/(-1)=(y)/(2)=(z-1)/(3) on the plane x...

    Text Solution

    |

  8. The direction cosines of a line satisfy the relations lamda(l+m)=nandm...

    Text Solution

    |

  9. The intercepts made on the axes by the plane which bisects the line jo...

    Text Solution

    |

  10. The pair of lines whose direction cosines are given by the equation...

    Text Solution

    |

  11. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

    Text Solution

    |

  12. A line with positive direction cosines passes through the point P(2, -...

    Text Solution

    |

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

    Text Solution

    |

  14. The equation of the plane passing through lines (x-4)/1=(y-3)/1=(z-...

    Text Solution

    |

  15. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

    Text Solution

    |

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

    Text Solution

    |

  17. The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a poi...

    Text Solution

    |

  18. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

    Text Solution

    |

  19. Find the following are equations for the plane passing through the p...

    Text Solution

    |

  20. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

    Text Solution

    |