Home
Class 12
MATHS
Find the equation ot the plane through t...

Find the equation ot the plane through the point p(5, 3, -1) perpendicular to the line in space
whose symmetric equations are `(x-2)/3=(y+1)/4=(z-1)/-2`. (Vector form)

Text Solution

Verified by Experts

The correct Answer is:
`(vecr -5hati - 3hatj +hatk)cdot(3hati+4hatj-2hatk)=0`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - A|90 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise Illustration|4 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 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 plane through the points (2,1,1) and (1,3,4) and perpendicular to the plane x-2y+4z=10 .

Find the equation of the plane through the points (2,2,1) and (9,3,6) and perpendicular to the plane 2x+6y+6z=1

Find the equation of the plane throughathe points (2,-3,1) and (5,2,-1) and perpendicular to the plane x-4y+5z+2=0

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 plane passing through the point (2,-1,5), perpendicular to the plane x+2y-3z=7 and parallel to the linne (x+5)/3=(y+1)/-1=(z-2)/1 .

find the equation of the plane passing through the point (3,3,1) and perpendicular to the line joining (3,4,-1) and (2,-1,5).

Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the planes 3x+2y-3z=1 and 5x-4y+z=5

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

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

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Find the foot of perpendicular drawn from the point P(0, 0, 0) to the ...

    Text Solution

    |

  2. Consider the plane 10x - 5y + 4z = 20, find the point which is closest...

    Text Solution

    |

  3. Find the equation ot the plane through the point p(5, 3, -1) perpendic...

    Text Solution

    |

  4. Find the equation of the plane through the point (0, 1, 2) and parpend...

    Text Solution

    |

  5. Find the equation of a plane passing through origin and which is perpe...

    Text Solution

    |

  6. Find the equation of the plane passing through the points (1,-1,2)a n ...

    Text Solution

    |

  7. Find the equation of the plane through the points A(3, 2, 0), B(1, 3, ...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the equation of the plane containing the points P(2, 3, -1), Q(6,...

    Text Solution

    |

  10. A plane meets the coordinates axis in A, B, C such that the centroid o...

    Text Solution

    |

  11. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  12. Find the vector equation of a plane containing line of intersection of...

    Text Solution

    |

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

    Text Solution

    |

  14. Find an equation for the plane through P(0)=(1, 0, 1) and passing thro...

    Text Solution

    |

  15. Find the equation of a plane containing the line of intersection of...

    Text Solution

    |

  16. Show that lines (x-2)/5=(y+1)/1=(z-2)/-6 and (x+3)/-8=(y-2)/-1=(z-8)/7...

    Text Solution

    |

  17. Find x such that the four points A\ (3,\ 2,\ 1), B(4, x ,\ 5), C\ (4,...

    Text Solution

    |

  18. Find the angle between the planes 2x + y - 2z = 5 and 3x - 6y - 2z = 7...

    Text Solution

    |

  19. Find the angle between the planes 2x - y + 3z = 6 and x + y +2z =7.

    Text Solution

    |

  20. Find the angle between the line (x-1)/3=(y+1)/2=(z-1)/4 and plane 2x +...

    Text Solution

    |