Home
Class 12
MATHS
Find the Cartesian equations of the line...

Find the Cartesian equations of the line passing through the point (-1, 3, -2) and perpendicular to the lines `x/1=y/2=z/3a n d\ (x+2)/(-3)=(y-1)/2=(z+1)/5`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|3 Videos

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos

Similar Questions

Explore conceptually related problems

Determine the equation of the line passing through the point (-1,3,-2) and perpendicualr to the lines: x/1 = y/2 = z/3 and (x +2)/(-2) = (y-1)/(2) = (z+1)/(5)

Find the equation of the line passing through the intersection (-1,3,-2) and perpendicular to the lines (x)/1=(y)/(2)=(z)/3a n d(x+2)/-3=(y-1)/2=(z+1)/5 dot

Find the equation of the line passing through the point (2, 1, 3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3andx/(-3)=y/2=z/5

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

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 4x-2y-5z-2=0.

Find the equation of the line passing through the point (-1,2,3) and perpendicular to the lines x/2=(y-1)/(-3)=(z+2)/(-2)a n d(x+3)/(-1)=(y+3)/2=(z-1)/3dot

Obtain the equation of the plane passing through the point (1, -3, -2) and perpendicular to the planes x+2y+2z=5\ a n d\ 3x+3y+2z=8.

The equation of the line passing though the point (1,1,-1) and perpendicular to the plane x -2y - 3z =7 is :

Find the equation of a line passes through the point (-2,1) and perpendicular to the line 3x+y=5 .

Find the Vector and Cartesian equations of the line passing through the point (1, 2, 4) and perpendicular to the two lines (x-8)/3=(y+19)/(-16)=(z-10)/7 and (x-15)/3=(y-29)/8=(z-5)/(-5)

RD SHARMA ENGLISH-STRAIGHT LINE IN SPACE -All Questions
  1. Prove that the line x=a y+b ,\ z=c y+d\ a n d\ x=a^(prime)y+b^(prime),...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the Cartesian equations of the line passing through the point (-1...

    Text Solution

    |

  4. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

    Text Solution

    |

  5. Show that the three lines with direction cosines (12)/(13),(-3)/(13),(...

    Text Solution

    |

  6. Show that the line through the points (1, -1, 2) and (3, 4,-2) is p...

    Text Solution

    |

  7. Show that the line through the point (4, 7, 8) and (2, 3, 4) is par...

    Text Solution

    |

  8. Find the Cartesian equation of the line with passes through the point ...

    Text Solution

    |

  9. Show that the lines (x-5)/7=(y+2)/(-5)=z/1andx/1=y/2=z/3 are perpendic...

    Text Solution

    |

  10. Show that the line joining the origin to the point (2, 1, 1) is per...

    Text Solution

    |

  11. Find the equation of a line parallel to x-axis and passing through the...

    Text Solution

    |

  12. Find the angle between the following pairs of lines: -> r=(4 hat i- h...

    Text Solution

    |

  13. Find the angle between the following pairs of lines: -> r=(3 hat i+2 ...

    Text Solution

    |

  14. Find the angle between the following pairs of lines: -> r=lambda( hat...

    Text Solution

    |

  15. Find the angle between the following pairs of line: (x+4)/3=(y-1)/5=(z...

    Text Solution

    |

  16. Find the angle between the following pairs of line: (x-1)/2=(y-2)/3=(z...

    Text Solution

    |

  17. Find the angle between the following pairs of line: (5-x)/(-2)=(y+3)/1...

    Text Solution

    |

  18. Find the angle between the following pairs of line: (x-2)/3=(y+3)/(-2)...

    Text Solution

    |

  19. Find the angle between the following pairs of line: (x-5)/1=(2y+6)/(-2...

    Text Solution

    |

  20. Find the angle between the following pairs of line: (-x+2)/(-2)=(y-1)/...

    Text Solution

    |