Home
Class 12
MATHS
The plane x/4 + y/3 -z/5 =1 cuts the axe...

The plane x/4 + y/3 -z/5 =1 cuts the axes at A, B, C then the area of the triangle ABC is

A

`sqrt(769)`

B

`1/2 sqrt51`

C

`sqrt51`

D

`1/2 sqrt(769)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

The plane x/2+y/3+z/4 = 1 cuts the axes A, B, C then the area of the triangle ABC is

If the plane 7x+11y+13z=3003 meets the axes A, B, C then the centroid of the triangle ABC is

The line x+y -2 =0 cuts the axes at A and B , then the incentre of triangle AOB is

If the plane 3x+4y-3z+2=0 cuts the coordinate axes at A, B, C, then the centroid of the triangle ABC is

The tangent to the curve xy = 25 at any point on it cuts the coordinate axes at A and B , then the area of the triangle OAB is

A plane meets the coordinate axes at A, B, C such that the centroid of the triangle ABC is (3,4,5). Then the equation of the plane is

The plane ax + by + cz = 1 meets the coordinate axes in A, B, C. The centroid of the triangle is :

A plane meets the coordinate axes at A, B, C such that the centroid of the triangle is (3, 3, 3). The equation of the plane is :

A variable plane is at a constant distance k from the origin and meets the coordinate axes at A, B, C. Then the locus of the centroid of the triangle ABC is

If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any point cuts the co-ordinate axes at P and Q, then the minimum area of triangle OPQ is :

HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If the plane 3x+4y-3z+2=0 cuts the coordinate axes at A, B, C, then th...

    Text Solution

    |

  2. A plane meets the coordinate axes at A, B, C such that the centroid of...

    Text Solution

    |

  3. The plane x/4 + y/3 -z/5 =1 cuts the axes at A, B, C then the area of ...

    Text Solution

    |

  4. The distance of the point (1,0,2) from the point of intersection of t...

    Text Solution

    |

  5. The length of the perpendicular from the origin to the plane 3x+4y+12z...

    Text Solution

    |

  6. Find the distance of the point (2,3,-5) from the plane r.(i+2j-2k)=9.

    Text Solution

    |

  7. The foot of the perpendicular from (-2,3) to the line 2 x-y-3=0 is

    Text Solution

    |

  8. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

    Text Solution

    |

  9. Find the image of (2,3) on the line 3x+5y=4.

    Text Solution

    |

  10. If the planes vec r . (2i + lambda j +k) = 3 and vec r . (4i+j+muk) = ...

    Text Solution

    |

  11. The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = ...

    Text Solution

    |

  12. The angle between the lines (x-1)/1 = (y-1)/1 = (z-1)/2 and (x-1)/(-sq...

    Text Solution

    |

  13. The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = ...

    Text Solution

    |

  14. The perpendicular distance of P(1,2,3) from the line (x-6)/3 = (y-7)/2...

    Text Solution

    |

  15. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

    Text Solution

    |

  16. The angle between the line (x-2)/3 = (y+1)/1 = (z-2)/(-1) and the plan...

    Text Solution

    |

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

    Text Solution

    |

  18. The distance of the point (2,3,-4) from the point of intersection of t...

    Text Solution

    |

  19. If the lines : (x-1)/2 =(y+1)/3 =(z-1)/4 and (x-3)/1=(y-k)/2 =z/1 in...

    Text Solution

    |

  20. Equation of the plane passing through (2,3,4) and parallel to the plan...

    Text Solution

    |