Home
Class 12
MATHS
If P is the orthocentre and Q is the cir...

If P is the orthocentre and Q is the circumcentre of `triangleABC`, then `overline(PA)+overline(PB)+overline(PC)=`

A

`overline(PQ)`

B

`overline(PQ)`

C

`2overline(PQ)`

D

`overline(PQ)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NIKITA PUBLICATION|Exercise MCQs|404 Videos

Similar Questions

Explore conceptually related problems

If P is the orthocentre and Q is the circumcentre of triangle(ABC) , then overline(QA)+overline(QB)+overline(QC)=

If G is the point of concurrence of the median of triangleABC , then overline(GA)+overline(GB)+overline(GC)=

overline(AB)-overline(CB)+overline(DA)+2overline(CD)=

overline(PQ)-overline(TQ)+overline(PS)+overline(ST)=

overline(OA)+6overline(BC)+overline(AB)+5overline(OB)=

If D, E, F are the mid-points of the sides BC, CA and AB respectively of triangleABC , then overline(AD)+(2)/(3)overline(BE)+(1)/(3)overline(CF)=

[[overline(a), overline(b), overline(a)timesoverline(b)]]=

If G_1 and G_2 are the centroid of triangleABC and trianglePQR respectively, then overline(AP)+overline(BQ)+overline(CR)=

ABDC is a parallelogram and P is the point of intersection of its diagonals. If O is any point, then overline(OA)+overline(OB)+overline(OC)+overline(OD)=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. D, E and F are the mid-points of the sides BC, CA and AB respectively ...

    Text Solution

    |

  2. If P is the orthocentre and Q is the circumcentre of triangle(ABC), th...

    Text Solution

    |

  3. If P is the orthocentre and Q is the circumcentre of triangleABC, then...

    Text Solution

    |

  4. IF G (barg),H (barh)and p(barp) are centroid orthocenter and ci...

    Text Solution

    |

  5. If O is the circumcentre, G is the centroid and O' is orthocentre or t...

    Text Solution

    |

  6. The vector bar(AB)=3hati+4hatk and bar(AC)=5hati-2hatj+4hatk are the s...

    Text Solution

    |

  7. In an isosceles triangleABC, If AB=AC and AD is the median, then overl...

    Text Solution

    |

  8. In a triangle O A B ,\ /A O B=90^0dot If P\ a n d\ Q are points of tri...

    Text Solution

    |

  9. In parallelogram ABCD, if P is the mid-point of side AB, then

    Text Solution

    |

  10. In parallelogram ABCD, if overline(AB)=overline(a) and overline(AD)=ov...

    Text Solution

    |

  11. If the two adjacent sides of a parallelogram are given by hat(i)+2hat(...

    Text Solution

    |

  12. Let overset(to)(OA) = overset(to)(a), overset(to)(OB)= 10overset(to)(a...

    Text Solution

    |

  13. By method, show that the quadrilateral with vertices A(1,2,-1), B(8,-3...

    Text Solution

    |

  14. The lie segments joining the midpoints of the ajdacent sides of a quad...

    Text Solution

    |

  15. Which of the following is true?

    Text Solution

    |

  16. Which of the following is true?

    Text Solution

    |

  17. Which of the following is trues?

    Text Solution

    |

  18. Which of the following is true regarding the diagonals of a parallelog...

    Text Solution

    |

  19. ABCD is a rhombus and P ,Q ,R ,S are the mid-points of A B ,B C ,C D ,...

    Text Solution

    |

  20. In quadrilateral ABCD, if overline(AB)=overline(CD), then it is

    Text Solution

    |