Home
Class 12
MATHS
Prove that the lines through A(0,-1,-1)a...

Prove that the lines through `A(0,-1,-1)a n dB(4,5,1)` intersecrs the line through `C(3,9,4)a n dD(-4,4,4)dot` Also, find their point of intersection.

Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|82 Videos
  • TANGENTS AND NORMALS

    RD SHARMA|Exercise Solved Examples And Exercises|244 Videos

Similar Questions

Explore conceptually related problems

Prove that the line through A(0,-1,-1) and B(4,5,1) intersects the line through C(3,9,4) and D(-4,4,4)

Find the equation of the line passing through (2,1,-2) and (5,3,4) and of the plane passing through (2,0,3) , (1,1,5) and (3,2,4) . Also find their point of intersection.

The line through (4, 3) and (-6, 0) intersects the line 5x+y=0 . Find the angles of intersection.

The line through (h ,3)a n d\ (4,1) intersects the line k 7x-9y-19=0 at right angle. Find the value of hdot

The equation of the line passing through (-3, 5) and perpendicular to the line through the points (1,0) and (-4, 1) is

Show that the line through points (4,7,8) and 2,3,4 ) is parallel to the line through the points (-1,-2,1) and (1,2,5) .

Show that the line through the points (1,-1,2),(3,4,-2) is perpendicular to the line through the points (0,3,2) and (3,5,6)

Show that the line through the points (1,-1,2) and (3,4-2) is perpendicular to the line through the points (0,3,2) and (3,5,6).

Find the slope of the line passing through the points (3, 4) and (1, 2). Also find its equation.

Show that the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (3,-3) and (5,-9).

RD SHARMA-STRAIGHT LINE IN SPACE -Solved Examples And Exercises
  1. Find the foot of the perpendicular from the point (0,2,3) on the line ...

    Text Solution

    |

  2. The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its directi...

    Text Solution

    |

  3. Prove that the lines through A(0,-1,-1)a n dB(4,5,1) intersecrs the li...

    Text Solution

    |

  4. The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are thr...

    Text Solution

    |

  5. Find the Cartesian equation of a line passing through the points A(2,\...

    Text Solution

    |

  6. Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 h...

    Text Solution

    |

  7. Find the vector and Cartesian equations of the line through the point ...

    Text Solution

    |

  8. Find the vector equation of the line passing thought the points (-1,\ ...

    Text Solution

    |

  9. Find the vector equation of a line which is parallel to the vector 2 h...

    Text Solution

    |

  10. A line passes through the point with position vector 2 hat i-3 hat j+4...

    Text Solution

    |

  11. Find the vector form as well as in Cartesian form, the equation of the...

    Text Solution

    |

  12. Find the vector equation for the line which passes through the point ...

    Text Solution

    |

  13. The Cartesian equations of a line are (x-5)/3=(y+4)/7=(z-6)/2dot Find ...

    Text Solution

    |

  14. Find the Cartesian equation of a line passing through (1, -1, 2) and ...

    Text Solution

    |

  15. Find the direction cosines of the line (4-x)/2=y/6=(1-z)/3dot Also, re...

    Text Solution

    |

  16. Find the points on the line (x+2)/3=(y+1)/2=(z-3)/2\ at a distance...

    Text Solution

    |

  17. Show that the points whose position vectors are -2 hat i+3 hat j ,\ h...

    Text Solution

    |

  18. Find the Cartesian and vector equations of a line which passes through...

    Text Solution

    |

  19. The Cartesian equations of a line are 3x+1=6y-2=1-z , finding the fixe...

    Text Solution

    |

  20. Find the equation of a line passing through a point (2, -1, 3) and ...

    Text Solution

    |