Home
Class 12
MATHS
The OABC is a tetrahedron such that OA^2...

The OABC is a tetrahedron such that `OA^2+BC^2=OB^2+CA^2=OC^2+AB^2`,then

A

`OAbotBC`

B

`OBbotAC`

C

`OCbotAB`

D

`ABbotAC`

Text Solution

Verified by Experts

The correct Answer is:
(a, b, c)
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|35 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|96 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

In Fig if AD bot BC , prove that AB^2 + CD^2 = BD^2 + AC^2 .

In a tetrahedron OABC, the edges are of lengths, |OA|=|BC|=a,|OB|=|AC|=b,|OC|=|AB|=c. Let G_1 and G_2 be the centroids of the triangle ABC and AOC such that OG_1 _|_ BG_2, then the value of (a^2+c^2)/b^2 is

If G be the centroid of a triangle ABC, prove that, AB^2+BC^2+CA^2=3(GA^2+GB^2+GC^2)

In any triangle ABC, prove that AB^2 + AC^2 = 2(AD^2 + BD^2) , where D is the midpoint of BC.

In fig., O is a point in the interior of a triangle ABC, OD bot BC, OE bot AC and OF bot AB. Show that:- OA^2+OB^2+OC^2-OD^2-OE^2-OF^2=AF^2+BD^2+CE^2 .

In the triangle OAB , M is the midpoint of AB, C is a point on OM, such that 2 OC = CM . X is a point on the side OB such that OX = 2XB. The line XC is produced to meet OA in Y. Then (OY)/(YA)=

If AD, BE and CF are the medians of a Delta ABC, then evaluate (AD^(2)+BE^(2)+CF^(2)): (BC^(2) +CA^(2) +AB^(2)).

In fig., ABC is triangle in which angleABC > 90@0 and AD bot BC produced, prove that AC^2 = AB^2 + BC^2 + 2BC.BD . .

ABC is an isosceles triangle with AC = BC. If AB^2 = 2AC^2 , prove that ABC is right triangle.

Triangle AOB is in the first quadrant of the ellipse x^2/a^2+y^2/b^2=1 where OA = a and OB = b. Find the area enclosed between the chord AB and the arc AB of the ellipse.

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (More Than One Correct Option Type Questions)
  1. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve x^2+y^2=r...

    Text Solution

    |

  2. A vector equally inclined to the vectors hat(i)-hat(j)+hat(k) and hat(...

    Text Solution

    |

  3. Find the equations of the line through the point ( 1 , -2, -3) and par...

    Text Solution

    |

  4. A plane passes through a fixed point (a, b, c) and direction ratios of...

    Text Solution

    |

  5. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  6. Find the angle between the planes 2x+y+z-1=0 and 3x+y+2z-2=0,

    Text Solution

    |

  7. Find the direction ratios of this plane 2x-3y+4z+2=0

    Text Solution

    |

  8. A line segment has length 63 and direction ratios are 3,-2 and 6. The ...

    Text Solution

    |

  9. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

    Text Solution

    |

  10. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

    Text Solution

    |

  11. The lines x=y=z meets the plane x+y+z=1 at the point P and the sphere ...

    Text Solution

    |

  12. Evaluate int 4x^5 dx

    Text Solution

    |

  13. Consider the planes 2x+y+z+4=0, and y-z+4=0 Find the angle between the...

    Text Solution

    |

  14. The volume of a right triangular prism ABCA(1)B(1)C(1) is equal to 3 c...

    Text Solution

    |

  15. Find the multiplication of 34×0

    Text Solution

    |

  16. Let OABC be a regular tetrahedron with side length unity, then its vol...

    Text Solution

    |

  17. The OABC is a tetrahedron such that OA^2+BC^2=OB^2+CA^2=OC^2+AB^2,then

    Text Solution

    |

  18. If the line (x)/(1)=(y)/(2)=(z)/(3) then convert this in a vector form

    Text Solution

    |

  19. Let PM be the perpendicular form the point P(1,2,3) to the x-y plnae. ...

    Text Solution

    |

  20. Find dy/dx if y=log(logx)

    Text Solution

    |