Home
Class 12
MATHS
Let M,N, P and Q be the mid points of th...

Let M,N, P and Q be the mid points of the edges AB, CD, AC and BD respectively of the tetrahedron ABCD. Further, MN is perpendicular to both AB and CD and PQ is perpendicular to both AC and BD. Then which of the following is/are correct:

A

AB = CD

B

BC = DA

C

AC = BD

D

AN = BN

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|18 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|3 Videos

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|16 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

If M and N are the mid-points of the diagonals AC and BD respectively of a quadrilateral ABCD,then the of vec AB+vec AD+vec CB+vec CD equals

M and N are mid-point of the diagnols AC and BD respectivley of quadrilateral ABCD, then bar(AB) + bar(AD)+bar(CB)+bar(CD) =

If PQ are the mid points of diagonal AC and BD respectively of a quadrilateral ABCD ,then prove that vec AB+vec AD+vec CB+vec CD=4vec PQ

In the given figure, M is the mid-point of both AC and BD. Then

Let ABCD be a rectangle. Let P, Q, R, S be the mid-points of sides AB, BC, CD, DA respectively. Then the quadrilateral PQRS is a

In a trapezium ABCD, if E and F be the mid-points of diagonal AC and BD respectively. Prove that EF=1/2(AB-CD).

In a ? ABCD , AB | | DC. P and Q are the mid-points of AB and DC respectively AC, BD meet at O.Show that P , O , Q are collinear.

VK JAISWAL-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-2 : One or More than One Answer is/are Correct
  1. If veca=hati+6hatj+3hatk, vecb=3hati+2hatj+hatk and vec c=(alpha+1)hat...

    Text Solution

    |

  2. Consider the lines: L1:(x-2)/1=(y-1)/7=(z+2)/-5, L2:x-4=y+3=-z Then wh...

    Text Solution

    |

  3. Let hata, hatb and hatc be three unit vectors such that hata=hatb+(h...

    Text Solution

    |

  4. The value(s) of mu for which the straight lines vecr=3hati-2hatj-4hatk...

    Text Solution

    |

  5. If hati xx [ (veca-hatj) xxhati]+ hatj xx [(veca - hatk)xx hatj] +hatk...

    Text Solution

    |

  6. The value of expression [veca xx vecb" "vec c xx vecd" " vece xx vecf...

    Text Solution

    |

  7. If veca,vecb,vecc & vecd are position vector of point A,B,C and D resp...

    Text Solution

    |

  8. If OAB is a tetrahedron with edges and hatp, hatq, hatr are unit vect...

    Text Solution

    |

  9. Let hata and hatc are unit vectors and |vecb|=4. If the angle between...

    Text Solution

    |

  10. Consider the lines x=y=z and line 2x+y+z-1=0=3x+y+2z-2, then

    Text Solution

    |

  11. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

    Text Solution

    |

  12. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

    Text Solution

    |

  13. Let a be a real number and vec alpha = hati +2hatj, vec beta=2hati+a h...

    Text Solution

    |

  14. The volume of a right triangular prism ABCA1B1C1 is equal to 3. If the...

    Text Solution

    |

  15. If veca=x hati+y hatj+z hatk, vecb=y hati+z hatj+x hatk, and vec c=z ...

    Text Solution

    |

  16. If a line has a vector equation, vecr=2hati +6hatj+lambda(hati-3hatj) ...

    Text Solution

    |

  17. Let M,N, P and Q be the mid points of the edges AB, CD, AC and BD resp...

    Text Solution

    |

  18. The solution vectors vecr of the equation vecr xx hati=hatj+hatk and v...

    Text Solution

    |

  19. Which of the following statement(s) is/are incorrect ?

    Text Solution

    |

  20. The lines with vector equations are, vecr(1)=3hati+6hatj+lambda(-4hat...

    Text Solution

    |