Home
Class 12
MATHS
Convert the equation of plane 2x-4y+3z =...

Convert the equation of plane `2x-4y+3z = 24` into intercept from and find the intercepts cuts from the axes.

Text Solution

Verified by Experts

Equation of plane
`2x-4y+3z = 24`
`rArr (2x)/(24)-(4y)/(24) + (3z)/(24) = 1`
`rArr (x)/(12) + (y)/(-6) + (z)/(8) = 1`.
Which is the intercept from of plane.
Intercepts on axes are
`a = 12, b = - 6, c = 8`
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

Reduce the equation of the plane 2x-3y+z=6 to intercept from and find its intercepts on the coordinates axes.

Reduce the equation of the plane 2x+3y-z=6 to intercept form and find its intercepts on the coordinate axes.

Convert the following equations into intercept form and find the intercepts cuts from axes from these lines : (i) 4x+3y=24 (ii) 2x-7y=14 (iii) 2x+3y=6 (iv)3x-y=4

Reduce the equation of the plane 4x-3y+2z=12 to the intercept form, and hence find the intercepts made by the plane with the coordinate axes.

Reduce the equation 2x-3y+5z+4=0 to intercept form and find the intercepts made by it on the coordinate axes.

Reduce the equation 2x-7y+3=0 to the intercept form and hence find the intercepts on the axes.

Reduce the equations of the following planes in intercept form and find its intercepts on the coordinate axes: 2x-y+z=5

Reduce the equations of the following planes in intercept form and find its intercepts on the coordinate axes: 4x+3y-6z-12=0

Reduce the equation 3x-2y+4=0 to intercepts form and find the length of the segment intercept the axes.

Reduce the equation sqrt3y+y+2=0 to (i) slope-intercept form and final the slope and y-intercept. (ii) intercepts form and find the intercepts on the axes.

NAGEEN PRAKASHAN-THREE-DIMENSIONAL GEOMETRY -Miscellaneous Exercise
  1. Convert the equation of plane 2x-4y+3z = 24 into intercept from and f...

    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

    |