Home
Class 12
MATHS
Find the equation of the line passing th...

Find the equation of the line passing through the point (3, 0, 1) and parallel to the planes x + 2y = 0 and 3y – z = 0.

Text Solution

Verified by Experts

The correct Answer is:
`therefore(x-3)/(-2)=y=(z-1)/(3)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|173 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the line passing through (1,2,3) and parallel to the planes x-y+2z -5 =0 and 3x +y + z - 6 =0 .

The equation of the line passing through the point (1, 2) and perpendicular to the line x+y + 1 = 0 is

Find the equation of the plane passing through the point (-1, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

Find the equation of the plane passing through the point (3, 4, -1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+2=0

Equation of the line passing through (1, 2) and parallel to the line y=3x -1 is

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

The equation of line passing through the point (-4,3,1) parallel to the plane x + 2y-z-5 = 0 and intersect the lien (x+1)/(-3) = (y-3)/(2) = (z-2)/(-1) is.......

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

Find the combined equation of the straight lines passing through the point (1,1) and parallel to the lines represented by the equation . x^2-5xy+4y^2+x+2y-2=0 .

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)
  1. Find the distance of a point (2, 4, -1) from the line (x+5)/(1)=(y+3)/...

    Text Solution

    |

  2. Find the length and the foot of perpendicular from the point (1,3/2,2)...

    Text Solution

    |

  3. Find the equation of the line passing through the point (3, 0, 1) and ...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the shortest distance between the lines vecr =(8+3lambda) hati - ...

    Text Solution

    |

  6. Find the equation of the plane which is perpendicular to the plane 5x ...

    Text Solution

    |

  7. If the plane ax + by = 0 is rotated about its line of intersection wit...

    Text Solution

    |

  8. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  9. Show that the points bari-barj+3bark and 3(bari +barj+bark) are equidi...

    Text Solution

    |

  10. vec(AB)=3bari-barj+bark and vec(CD)= -3bari+2barj+4bark are two vector...

    Text Solution

    |

  11. Show that the straight lines whose direction cosines are given by 2l +...

    Text Solution

    |

  12. If (l1, m1, n1), (l2, m2, n2)" and "(l3, m3, n3) are the direction cos...

    Text Solution

    |

  13. Distance of the point (alpha,beta,gamma) from Y- axis is …........

    Text Solution

    |

  14. If the directions cosines of a line are k, k and k then ..........

    Text Solution

    |

  15. The distance of the plane barr.(2/7i+3/7j-6/7k)=1 from the origin is …...

    Text Solution

    |

  16. The sine of the angle between the straight line (x-2)/(3)=(y-3)/(4)=(z...

    Text Solution

    |

  17. The reflection of the point (alpha,beta,gamma) in the xy - plane is .....

    Text Solution

    |

  18. The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4...

    Text Solution

    |

  19. The locus represented by xy + yz = 0 is .........

    Text Solution

    |

  20. The plane 2x – 3y + 6z - 11 = 0 makes an angle sin^(-1)alpha with X- a...

    Text Solution

    |