Home
Class 12
MATHS
Determine the symmetric form of the equa...

Determine the symmetric form of the equation to the line of intersection of the plane `y + 2z +1 = 0` and `x - 2y-2=0`.

Text Solution

Verified by Experts

The correct Answer is:
`(z)/(-1)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 3|20 Videos
  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST|24 Videos
  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 2|12 Videos
  • SIMILAR TEST 3

    ARIHANT PRAKASHAN|Exercise SECTION C|14 Videos
  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|9 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the line of intersection of the planes. x + 3y + 6 = 0 , 3x - y - 4z = 0 and the point (1,1,1) .

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

How far is the point (4, 1, 1) from the line of intersection of the planes x + y + z = 4, x - 2y - z = 4.

Write the symmetric form of equation of the following lines : x-2y=3,2x+y-5z=0,

Find the equation of the plane Which contains the line of intersection of the planes x+2y+3z-4=0 and 2x+y-z+5=0 and perpendicular of the plane 5x+ 3y+6z+8=0 .

Find the equation of the plane passing through the intersection of the plane x + 2y + 3z - 4 = 0 and 5x + 3y + 6z + 8 = 0.

ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -TOPIC -3- PRACTICE QUESTIONS
  1. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

    Text Solution

    |

  2. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |

  3. Using the method of elemination find the symmetrical form of equation ...

    Text Solution

    |

  4. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

    Text Solution

    |

  5. Find the co-ordinates of the point where the perpendicular from the or...

    Text Solution

    |

  6. Determine the symmetric form of the equation to the line of intersecti...

    Text Solution

    |

  7. Find the equation of the plane passing through the line x = y = z and ...

    Text Solution

    |

  8. Find the intersection of the line passing through the points (3, -2, 1...

    Text Solution

    |

  9. Prove that the lines (x + 3)/(2) = (y + 5)/(3) = (z - 7)/(-3) and (x +...

    Text Solution

    |

  10. Find the equation of the straight line which passes through the point ...

    Text Solution

    |

  11. Find the angle between the pair of lines (x+3)/(3) = (y-1)/(5) = (z+...

    Text Solution

    |

  12. Find the shortest distance between the lines  (x-3)/(1) = (y - 5)/(-2)...

    Text Solution

    |

  13. Find the angle between the plane x+y+4=0 and the line (x+3)/2=(y-1)/1=...

    Text Solution

    |

  14. Find the equation of the plane through (6,3,1) and (8,-5,3) parallel t...

    Text Solution

    |

  15. Find the shortest distance between the lines (x - 3)/(3) = (y - 8)/(-1...

    Text Solution

    |

  16. Show that the line joining the points (0,2,-4) and (-1,1-2) and the l...

    Text Solution

    |

  17. Find the distance of the point (1,-2,3) from the plane x-y+z=5, measur...

    Text Solution

    |

  18. Find a symmetric form of the equation to the lines x +2y-z-2= 0 and 2x...

    Text Solution

    |

  19. Find the coordinates of the foot of perpendicular drawn from the point...

    Text Solution

    |

  20. Find the coordinate of the point, where the line trough (3, -4, 5) and...

    Text Solution

    |