Home
Class 12
MATHS
The symmetric form of the equation of th...

The symmetric form of the equation of the line `x + y-z =3, 2x+3y+ z+4=0` is :

A

`x/2=y/3=z/5`

B

`x/2=y/3= (z-1)/(5)`

C

`(x-1)/(2) =y/3=z/5`

D

None of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise LEVEL-2|42 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

  • STRAIGHT LINES

    VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

Obtain in the symmetrical form of equation of the line given by x-2y + 3z-4= 0= 2x - 3y + 4z- 5

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

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5, which is perpendicular to the plane x - y + z = 0.

Let the equation of the plane containing the line x-y - z -4=0=x+y+ 2z-4 and is parallel to the line of intersection of the planes 2x + 3y +z=1 and x + 3y + 2z = 2 be x + Ay + Bz + C=0 Compute the value of |A+B+C| .

The number of solutions of equations x + y - z=0, 3x - y - z= 0,x - 3y + z = 0 is

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

Find the equation of plane through the line of intersection of the planes 3x – 4y + 5z = 10, 2x +2y-3z=4 and parallel to the line x=2y=3z

Find the equation of line of intersection of the planes 3x-y+ z=1 and x + 4 y -2 z =2.

Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and parallel to the plane x+3y+6z=1 , is

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-1
  1. The equation of the plane contaiing the lines vecr=veca(1)+lamda vecb ...

    Text Solution

    |

  2. Lines vecr = veca(1) + lambda vecb and vecr = veca(2) + svecb will lie...

    Text Solution

    |

  3. The symmetric form of the equation of the line x + y-z =3, 2x+3y+ z+4=...

    Text Solution

    |

  4. Which of the statement is true? The coordinate planes divide the line ...

    Text Solution

    |

  5. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

    Text Solution

    |

  6. The equation of the plane through the point (2,5,-3) perpendicular to...

    Text Solution

    |

  7. The equation of the plane passing through the points (3,2,-1) , (3,4,...

    Text Solution

    |

  8. The linee joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2...

    Text Solution

    |

  9. The equation of the plane through the point (0,-4,-6) and (-2,9,3) and...

    Text Solution

    |

  10. What are corrdinates of the point equidistant from the points (a,0,0),...

    Text Solution

    |

  11. The intercepts made on the axes by the plane the which bisects the ...

    Text Solution

    |

  12. The plane passing through the point (5,1,2) perpendicular to the line ...

    Text Solution

    |

  13. The lines (x+1)/(1)=(y-1)/(2)=(z-2)/(1),(x-1)/(2)=(y)/(1)=(z+1)/(4) ar...

    Text Solution

    |

  14. The coordinates of the centriod of triangle ABC where A,B,C are the p...

    Text Solution

    |

  15. What is the equation of the plane which passes through the z-axis and ...

    Text Solution

    |

  16. The lines which intersect the skew lines y=m x ,z=c ; y=-m x ,z=-c a...

    Text Solution

    |

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

    Text Solution

    |

  18. A plane meets the coordinates axes in A, B, C such that the centroid ...

    Text Solution

    |

  19. The equation of the plane passing through the intersection of the plan...

    Text Solution

    |

  20. The equation of the line passing though the point (1,1,-1) and perpend...

    Text Solution

    |