Home
Class 12
MATHS
The equation of the plane passing thr...

The equation of the plane passing through lines `(x-4)/1=(y-3)/1=(z-2)/2a n d(x-3)/2=(y-2)/(-4)=z/5` is a. `11 x-y-3z=35` b. `11 x+y-3z=35` c. `11 x-y+3z=35` d. none of these

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

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

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

The line through of the plane passing through the lines (x-4)/(1)=(y-3)/(1)=(z-2)/(2) and (x-3)/(1)=(y-2)/(-4)=(z)/(5) is

The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

Write the equation of the plane passing through (2, -1,1) and parallel to the plane 3x+2y-z=7.

Find the equation of the plane passing through the point (-1,-1,2)a n d perpendicular to the planes 3x+2y-3z=1 a n d5x-4y+z=5.

The equation of the line passing though the point (1,1,-1) and perpendicular to the plane x -2y - 3z =7 is :

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

The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1)a n d=(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

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1)a n d=(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

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is a. x-5y+3=7 b. x-5y+3z=7 c. x+5y=3z=7 d. x+5y+3z=-7

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. A line with positive direction cosines passes through the point P(2, –...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

    Text Solution

    |

  11. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

    Text Solution

    |

  12. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

    Text Solution

    |

  13. The equation of a plane which passes through the point of intersection...

    Text Solution

    |

  14. If the foot of the perpendicular from the origin to plane is P(a ,b ...

    Text Solution

    |

  15. Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular...

    Text Solution

    |

  16. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

    Text Solution

    |

  17. The coordinates o the foot of the perpendicular drawn from the orig...

    Text Solution

    |

  18. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

    Text Solution

    |

  19. Let A(1,1,1),B(2,3,5)a n dC(-1,0,2) be three points, then equation of...

    Text Solution

    |

  20. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

    Text Solution

    |