Home
Class 12
MATHS
If direction ratios of the normal of the...

If direction ratios of the normal of the plane which contains the lines `x-2/3=y-4/2=z-1/1` and `x-6/3=y+2/2=z-2/1` are `(a, 1,-26)`, then `a` is equal to

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|20 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise JEE Previous Year|26 Videos

Similar Questions

Explore conceptually related problems

Direction cosines to the normal to the plane containing the lines (x)/(2)=(y)/(3)=(z)/(5) and (x-1)/(2)=(y-1)/(3)=(z-1)/(5) are

Find the equation of the plane which contains the two parallel lines (x+1)/2=(y-2)/2=z/1and (x-3)/3=(y+4)/2=(z-1)/2 .

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

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

Show that the plane X-5Y-2Z =1 contains the line (X-5)/3 = Y = 2- Z

Equation of the plane containing the lines (x-1)/2 = y/-3 = (z+1)/4 and (x+2)/2 = (1-y)/3 = (1-z)/-4 is

The direction ratios of the normal to the plane passing through origin and the line of intersection of the planes x+2y+3z=4 and 4x+3y+2z=1 are . . .

The direction ratios of the normal to the plane passing through the points (1,-2,3),(-1,2,-1) and paralle to the line (x-2)/2=(y+1)/3=z/4 are proportional to

CENGAGE-THREE DIMENSIONAL GEOMETRY-Question Bank
  1. Let the line L1: (x-1)/2=(y-2)/3=(z-3)/4 and L2:( x-2)/1= (y-3)/2=(z-k...

    Text Solution

    |

  2. Consider two lines L1: (x-7)/3=(y-7)/2=(z-3)/1 and L2: (x-1)/2=(y+1)/4...

    Text Solution

    |

  3. If the lines L1: x-2 y+4 z=0,2 x+y+z-4=0 and L2: (x-2)/2=y/1=(z-1)/2 a...

    Text Solution

    |

  4. Line drawn perpendicular to plane x+2 y-3 z=21 at point A meets plane ...

    Text Solution

    |

  5. The equation of the plane which has the property that the point Q(5,4,...

    Text Solution

    |

  6. Consider a plane Pi: vec r (2 hati+hatj-hatk)=5, a line L1: ve cr =3 h...

    Text Solution

    |

  7. If L: x-2/a=y-0/b=z-p/c where a, b in I is a line parallel to the line...

    Text Solution

    |

  8. If the angle between the plane x-3 y+2 z=1 and the line x-1/2=y-1/1=z-...

    Text Solution

    |

  9. Aplane P is perpendicular to the vector A=2 i+3 j+6 k and contains the...

    Text Solution

    |

  10. The intersection of the planes 2 x-y-3 z=8 and x+2 y-4 z=14 is the lin...

    Text Solution

    |

  11. Let Q be the foot of perpendicular from the origin to the plane 4 x-3 ...

    Text Solution

    |

  12. If a line passing through A(1,2,3) and B(-1,3,5) meets the plane x+3 y...

    Text Solution

    |

  13. If direction ratios of the normal of the plane which contains the line...

    Text Solution

    |

  14. The point of intersection of the plane vecr .(2 hati-hatj+3 hatk)=6 wi...

    Text Solution

    |

  15. Shortest distance between barz -axis and the line x+y+2 z- 3=0=2 x+3 y...

    Text Solution

    |

  16. If the plane 2 x .+y+2 z harpoons 9 intersects the co-ordinate axes in...

    Text Solution

    |

  17. If the plane 2 x-2 y-z-11=0 makes an angle sin ^-1(lambda) with x -axi...

    Text Solution

    |

  18. The vector barA B=3 hati+4 hatk and overarrowA C=5 hati-2 hatj+4 hatk ...

    Text Solution

    |

  19. The distance of the point (-1,-5,-10) from the point of intersection o...

    Text Solution

    |

  20. Consider two lines in space as L1: vecr1=hatj+2 hatk+lambda(3 hati-hat...

    Text Solution

    |