Home
Class 12
MATHS
If the line drawn from the point (-2,-1,...

If the line drawn from the point `(-2,-1,-3)` meets a plane at right angle at the point `(1,-3,3),` find the equation of the plane.

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

If he line drawn from the point (-2,-1,-3) meets a plane at right angle at the point (1,-3,3), find the equation of the plane.

If the line drawn from (4,-1,2) meets a plane at right angles at the point (-10 ,5,4), find the equation of the plane.

The foot of the perpendicular drawn from the origin to the plane is the point (2, 5, 7). Find the equation of the plane.

If a line passes through the points (a,1) and (3,-5) , meets the line 3x+y-1=0 at right angle, then find the value of 'a' .

Find the co-ordinates of the foot of perpendicular and its perpendicular distance drawn from the point (1,3,4) to the plane 2x-y-2z+3=0. Also find the image of the point (1,3,4) in the plane.

Two lines pass through the point (3,1) meet an angle of 60^(@) . If the slope of one line is 2 , find the equation of second line.

The linee joining the points (1,1,2) and (3,-2,1) meets the plane 3x+2y+z=6 at the point

P(2,1,2),Q(1,2,1) are two points on a plane which is parallel to the line 2x=3y,z=1 . Find the equation of the plane.

Find the equation of the plane passing through the points (0,-1,-1), (4,5,1) and (3,9,4). Also find the vector equation of the plane.

Find the equation of the line drawn through the point (1, 0,2) to meet at right angles to the line (x+1)/(3)=(y-2)/(-2)=(z+1)/(-1) .

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the vector equation of a lane passing through a point having p...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Let vec n be a vector of magnitude 2sqrt(3) such that it makes equal ...

    Text Solution

    |

  7. A vector vec n of magnitude 8 units is inclined to x-axis at 45^0 ,...

    Text Solution

    |

  8. A plane passes through the point (1,-2,5) and is perpendicular to the ...

    Text Solution

    |

  9. Find the vector and Cartesian equations of the plane containing the tw...

    Text Solution

    |

  10. Find the equation of the plane containing the line (x+1)/3=(y-3)/5=(z+...

    Text Solution

    |

  11. If the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y+4z-k a...

    Text Solution

    |

  12. Equation of plane which passes through the intersection point of the l...

    Text Solution

    |

  13. Find the coordinates of the point where the line (x-2)/3=(y+1)/4=(z-2)...

    Text Solution

    |

  14. Find the shortest distance between the skew-line4s l1:(x-1)/2=(y+1)/1...

    Text Solution

    |

  15. Find the distance between the line vec r=(- hat i+3 hat k)+lambda( ha...

    Text Solution

    |

  16. Find the shortest distance between the lines (x-2)/2=(y+1)/3=(z-0)/4a ...

    Text Solution

    |

  17. Find the image of the point having position vector hati + 3hatj + 4hat...

    Text Solution

    |

  18. A plane meets the coordinate axes at A ,Ba n dC respectively such that...

    Text Solution

    |

  19. Find the equation of a plane which meets the axes in A ,Ba n dC , give...

    Text Solution

    |

  20. Show that the four points (0,-1,-1),(-4,4,4),(4,5,1)a n d(3,9,4) are ...

    Text Solution

    |