Home
Class 11
MATHS
If I is the centre of a circle inscribed...

If I is the centre of a circle inscribed in a `DeltaABC`, then `abs(bar(BC))bar(IA)+abs(bar(CA))bar(IB)+abs(bar(AB))bar(IC)=`

A

`bar(0)`

B

`bar(IA)+bar(IB)+bar(IC)`

C

`(bar(IA)+bar(IB)+bar(IC))/3`

D

`2(bar(IA)+bar(IB)+bar(IC))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - I|31 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

A point I is the centre of a circle inscribed in a triangle ABC then show that abs(bar(BC))bar(IA)+abs(bar(CA))bar(IB)+abs(bar(AB))bar(IC)=bar(0)

If AD, BE and CF are the medians of DeltaABC , then the value of bar(BC).bar(AD)+bar(CA).bar(BE)+bar(AB).bar(CF)=

ABCDE is a pentagon then bar(AB)+bar(AE)+bar(BC)+bar(DC)+bar(ED)+bar(AC)=

If D is the midpoint of the side BC of a triangle ABC then bar(AB)^(2)+bar(AC)^(2)=

If bar(AD),bar(BE) and bar(CF) " are the medians of " DeltaABC , then find the value of bar(BC).bar(AD)+bar(CA).bar(BE)+bar(AB).bar(CF) .

If, in a right angled triangle ABC, the hypo tenus AB =p, then bar(AB).bar(AC)+bar(BC).bar(BA)+bar(CA).bar(CB) =

ABCDEF is a regular hexagon. If bar(AB)=bar(a), bar(BC)=bar(b)" then "bar(FA)=

bar(r)=2bar(i)+3bar(j)-6bar(k)" then find "abs(bar(r)) .

OACB is a parallelogram with bar(OC)=bar(a), bar(AB)=bar(b)" then "bar(OA)=

ABCDEF is a regular hexagon. bar(AB)+bar(AC)+bar(AD)+bar(EA)+bar(FA)=

AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. ABCDEF is a regular hexagon. O is centre and P.V. of A, B are bar(i)...

    Text Solution

    |

  2. If OABC, OCDE, OEFA are adjacent faces of a cube OABCDEF then bar(OB)+...

    Text Solution

    |

  3. If I is the centre of a circle inscribed in a DeltaABC, then abs(bar(B...

    Text Solution

    |

  4. If bar(r)=3bar(p)+4bar(q)" and "2bar(r)=bar(p)-3bar(q) then

    Text Solution

    |

  5. If bar(e)=lbar(i)+mbar(j)+nbar(k) is a unit vector then maximum value ...

    Text Solution

    |

  6. If l, m, n are d.c's of vector bar(OP) then maximum value of lmn is

    Text Solution

    |

  7. A vector bar(a) has components a(1), a(2), a(3) in the right handed sy...

    Text Solution

    |

  8. A vector bar(a) has components 2p and 1 w.r.t a rectangular cartesian ...

    Text Solution

    |

  9. In a DeltaOAB The P.V.'s of A, B are bar(a), bar(b) respectively. The ...

    Text Solution

    |

  10. The position vectors A, B are bar(a), bar(b) respectively. The positio...

    Text Solution

    |

  11. If bar(a), bar(b), bar(c) are the position vectors of the vertices A, ...

    Text Solution

    |

  12. The equation to the altitude of the triangle formed by (1, 1, 1), (1, ...

    Text Solution

    |

  13. If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3...

    Text Solution

    |

  14. If the position vectors of A, B, C, D are 3bar(i)+2bar(j)+bar(k), 4bar...

    Text Solution

    |

  15. The lineas r = (6 - 6s) a + (4s - 4) b + (4 - 8s) c and r = (2t - 1) a...

    Text Solution

    |

  16. A point on the line passing through (1, 1, 1) and parallel to (1, -2, ...

    Text Solution

    |

  17. A line passing through the point A(3bar(i)+bar(j)-bar(k)) and parallel...

    Text Solution

    |

  18. The point of intersection of the line passing through bar(i)-2bar(j)-b...

    Text Solution

    |

  19. Statement-I : If two vectors are collinear then those vectors are copl...

    Text Solution

    |

  20. Statement-I : Two non zero, non collinear vectors are linearly indepen...

    Text Solution

    |