Home
Class 12
MATHS
Find the equation of the plane which cut...

Find the equation of the plane which cuts the intercepts of length `3,-4` and `2 `units on the axes respectively.

Text Solution

Verified by Experts

Here, `a = 3, b = - 4, c = 2`
Equation of plane `x/a + y/b + z/c = 1`
`rArr x/3 - y/4 + z/2 = 1`
`rArr 4x-3y+6z = 12`.
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 11 A|22 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 11 B|32 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • VECTORS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the euqationof the plane which cuts intercepts 2,3,-4 on the axes.

Find the equation of a plane which cuts the interscepts 4,3 and -2 units on x,y and z-axes respectively.

The equation of a plane which cuts equal intercepts of unit length on the axes is

Find the equation of a line which cuts an intercept of 3 and -4 units from X -axis and Y -axis respectively.

Find the equation of the line which cuts off intercepts of 2 and 3 on both the axes ?

Find the equation of the plane which cuts off intercepts 3,6 and -4 from the axes of coordinates.

Find the equation of the line which cuts off intercepts 4 and -6 on the x-axis and y-axis respectively.

NAGEEN PRAKASHAN-THREE-DIMENSIONAL GEOMETRY -Miscellaneous Exercise
  1. Find the equation of the plane which cuts the intercepts of length 3,-...

    Text Solution

    |

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

    Text Solution

    |

  3. If l(1), m(1), n(1) and l(2),m(2),n(2) are the direction cosines of tw...

    Text Solution

    |

  4. Find the angle between the lines whose direction ratios are a, b, c a...

    Text Solution

    |

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

    Text Solution

    |

  6. If the coordinates of the points A,B,C,D be 91,2,3),(4,5,7),(-4,3,-6) ...

    Text Solution

    |

  7. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2and (x-1)/(3k)=(y-1)/1=(z-6...

    Text Solution

    |

  8. Find the vector equation of the line passing through (1, 2, 3) and ...

    Text Solution

    |

  9. Find the equation of the plane passing through (a,b,c) and paralle tot...

    Text Solution

    |

  10. Find the shortest distance between lines vecr = 6hati+2hatj+2hatk+la...

    Text Solution

    |

  11. Find the coordinates of the point where the line through (5, 1, 6) ...

    Text Solution

    |

  12. Find the coordinates of the point where the line through (5, 1, 6) ...

    Text Solution

    |

  13. find the coordinates of point where the line through (3,-4,-5) and (2,...

    Text Solution

    |

  14. Find the equation of the plane passing through the point (-1, 3, 2) an...

    Text Solution

    |

  15. If the points (1," "1," "p)" "a n d" "(" "3," "0," "1) be equidistant ...

    Text Solution

    |

  16. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  17. If O be the origin and the coordinates of P be (1,2,-3) then find the ...

    Text Solution

    |

  18. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |

  19. Find the distance of the point (-1,-5,-10) from the point of the inter...

    Text Solution

    |

  20. Find the vector equation o the line passing through (1,2,3) and parall...

    Text Solution

    |

  21. Find the vector equation of the line passing through the point (1,2,4)...

    Text Solution

    |