Home
Class 12
MATHS
Find the plane passing through (4,-1,2) ...

Find the plane passing through `(4,-1,2)` and parallel to the lines `(x+2)/3=(y-2)/(-1)=(z+1)/2a n d(x-2)/1=(y-3)/2=(z-4)/3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos

  • VECTOR OR CROSS PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

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

The equation of the plane thorugh the point (-1,2,0) and parallel to the lines x/3=(y+1)/0=(z-2)/(-1) and (x-1)/1=(2y+1)/2=(z+1)/(-1) is (A) 2x+3y+6z-4=0 (B) x-2y+3z+5=0 (C) x+y-3z+1=0 (D) x+y+3z-1=0

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

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

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

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

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

Equation of the plane passing through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2)&(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x+5)/(2)=(y-3)/(3)=(z+1)/(1) is

Find the equation of the plane passing through the point (3,4,1) and (0,1,0) and parallel to the line (x+3)/2=(y-3)/7=(z-2)/5

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the vector equation of the line passing through the point (1,-1,2...

    Text Solution

    |

  2. Show that the line vec r= hat i+ hat j+lambda(2 hat i+ hat j+4 hat k)...

    Text Solution

    |

  3. Find the plane passing through (4,-1,2) and parallel to the lines (x+2...

    Text Solution

    |

  4. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

    Text Solution

    |

  5. Find the angle between the lines x-2y+z=0=x+2y-2za n dx+2y+z=0=3x+9y+5...

    Text Solution

    |

  6. Find the distance between the parallel planes, vec r.(2 hat i-3 hat j...

    Text Solution

    |

  7. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

    Text Solution

    |

  8. Find the distance between the parallel planes vec r.( hat i+2 hat j+3...

    Text Solution

    |

  9. Find the equation of the plane which passes through the point (3,4,-1)...

    Text Solution

    |

  10. Find the distance of the point (3, 3, 3) from the plane vec r.(5 hat ...

    Text Solution

    |

  11. Find the equations of the planes parallel to the plane x+2y-2z+8=0 wh...

    Text Solution

    |

  12. Find the distance between the parallel planes x+y-z+4=0a n dx+y-z+5=0.

    Text Solution

    |

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

    Text Solution

    |

  14. If the line drawn from (4,-1,2) meets a plane at right angles at the p...

    Text Solution

    |

  15. If O is the origin and the coordinates of A are (a ,b , c) . Find the ...

    Text Solution

    |

  16. Find the vector equation of a lane passing through a point having p...

    Text Solution

    |

  17. The foot of perpendicular drawn from the origin to the plane is (4,-2,...

    Text Solution

    |

  18. If the line drawn from the point (-2,-1,-3) meets a plane at right ang...

    Text Solution

    |

  19. Find the equation of the plane which bisects the line segment joining ...

    Text Solution

    |

  20. Find the equation of the plane passing through the point (1,-1,2) havi...

    Text Solution

    |