Home
Class 12
MATHS
Find the equation of the plane passing t...

Find the equation of the plane passing through the line `(x-1)/(5)=(y+2)/(6)=(z-3)/(4)` and point `(4, 3, 7)`.

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

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

Find the equation of a plane passing through the parallel lines (x-3)/(1) = (y+2)/(-4) = z/5 and (z-4)/(1) = (y-3)/(-4) = (z-2)/(5) are coplanar. Also find the equation of plane in which these lines lie.

Find the equation of the plane passing through (1,2,0) which contains the line (x+3)/3=(y-1)/4=(z-2)/(-2)

Find the vector equation of the plane passing through the points (1, 1, -1), (6, 4, -5) and (-4, -2, 3).

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

Find the equation of the plane perpendicular to the line (x-1)/2=(y-3)/(-1)=(z-4)/2 and passing through the origin.

Find the equation of the plane perpendicular to the line (x-1)/2=(y-3)/(-1)=(z-4)/2 and passing through the origin.

Let P be the image of the point (3, 1, 7) with respect to the plane x-y+z=3 . Then, the equation of the plane passing through P and containing the straight line (x)/(1)=(y)/(2)=(z)/(1) is

Find the equation of the plane passing through the point (3,4,1) and (0,1,0) and parallel to the line (x+3)/2=(y-3)/7=(z-2)/5

Find the equation of the plane passing through the point (3,4,1) and (0,1,0) and parallel to the line (x+3)/2=(y-3)/7=(z-2)/5

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the equation of the plane which passes through the point (1,2,...

    Text Solution

    |

  2. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

    Text Solution

    |

  3. Find the equation of the plane passing through the line (x-1)/(5)=(y+2...

    Text Solution

    |

  4. Find the equation of the plane perpendicular to the line (x-1)/2=(y...

    Text Solution

    |

  5. Find the equation of the plane passing through the straight line (x...

    Text Solution

    |

  6. Find the equation of the line drawn through the point (1, 0,2) to meet...

    Text Solution

    |

  7. If vecr=(hati+2hatj+3hatk)+lambda(hati-hatj+hatk) and vecr=(hati+2hatj...

    Text Solution

    |

  8. Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a d...

    Text Solution

    |

  9. Line L1 is parallel to vector vecalpha=-3 hat i+2 hat j+4 hat k and p...

    Text Solution

    |

  10. Find the values p so that line (1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)...

    Text Solution

    |

  11. Find the angel between the following pair of lines: vec r=2 hat i...

    Text Solution

    |

  12. Fid the condition if lines x=a y+b ,z=c y+da n dx=a^(prime)y+b^(prime)...

    Text Solution

    |

  13. Find the acute angle between the lines (x-1)/l=(y+1)/m=1/na n d=(x+...

    Text Solution

    |

  14. Find the length of the perpendicular drawn from point (2,3,4) to li...

    Text Solution

    |

  15. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |

  16. Find the vector equation of the line passing through (1,2,3) and pa...

    Text Solution

    |

  17. Find the value of m for which thestraight line 3x-2y+z+3=0=4x+3y+4z+1...

    Text Solution

    |

  18. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

    Text Solution

    |

  19. Find the equation of line x+y-z-3=0=2x+3y+z+4 in symmetric form. Find ...

    Text Solution

    |

  20. Find the vector equation of line passing through the point (1,2,-4)...

    Text Solution

    |