Home
Class 12
MATHS
The point of intersection of the angle b...

The point of intersection of the angle bisectors of a triangle is :

A

orthocentre

B

centroid

C

incentre

D

excentre

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster For Cracking Exam|20 Videos
  • FACTORISATION OF POLYNOMIALS

    ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster for Cracking Exam |30 Videos
  • HCF AND LCM

    ARIHANT PUBLICATION JHARKHAND|Exercise Exam Booster for Cracking Exam|24 Videos

Similar Questions

Explore conceptually related problems

The point of intersection of the right bisectors of a triangle is called

In a triangle ABC, perpendicualr distance of BC from the point of intersection of angle bisector of angleB and angleC is……………..

Consider the following statements : 1. The point of intersection of the perpendicular bisectors of the sides of a triangle may lie outside the triangle. 2. The point of intersection of the perpendiculars drawn from the vertices to the opposite sides of a triangle may lie on two sides. Which of the above statements is/are correct ?

Let P, Q, R be three non-collinear points having rational coordinatse. (1) Coordinates of incentre of DeltaPQR are rational (2) Incentre of a triangle is the point of intersection of internal bisectors of angle of the triangle. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

In DeltaABC, /_ABC = 70^@, /_BCA = 40^@ . O is the point of intersection of the perpendicular bisectors of the sides, then the angle /_BOC is

3. Draw an obtuse-angled triangle and a right-angled triangle. Find the points of the concurrence of the angle bisectors of each angle

ARIHANT PUBLICATION JHARKHAND-GEOMETRY-Exam Booster For Cracking Exam
  1. If OE is the bisector of angleAOD in figure, then the values of x and ...

    Text Solution

    |

  2. In the given figure, O is the centre of a circle and arc ABC subtends ...

    Text Solution

    |

  3. angle POR and angleQOR form a linear pair. If a-b = 80^(@), then the v...

    Text Solution

    |

  4. An angle which measures more than 180^(@) but less than 360^(@), is ca...

    Text Solution

    |

  5. The measure of an angle, if seven times its complement is 10^(@) less ...

    Text Solution

    |

  6. The point of intersection of the angle bisectors of a triangle is :

    Text Solution

    |

  7. In an equilateral triangle, the incentre, circumcentre, orthocentre an...

    Text Solution

    |

  8. In an equilateral triangle ABC, the side BC is trisected at D. Then th...

    Text Solution

    |

  9. The bisector of the angles of a parallelogram enclose a

    Text Solution

    |

  10. One of the angles of a parallelogram is 55^(@). The remaining angles a...

    Text Solution

    |

  11. Two parallel lines AB and CD are intersected by a transversal line EF ...

    Text Solution

    |

  12. The earth makes a complete rotation about its axis in 24h. What angles...

    Text Solution

    |

  13. In the given figure, ABCD and PQRC are rectangle, where Q is the mid-p...

    Text Solution

    |

  14. Let ABCD be a trapezium in which AB||DC and E be the mid-point of AD. ...

    Text Solution

    |

  15. In the given figure, the value of angleABC is

    Text Solution

    |

  16. AB and CD are two chords of a circle such that AB = 10 cm, CD - 24 cm ...

    Text Solution

    |

  17. ABCD is a cyclic quadrilateral. AB and DC are the chords, when produce...

    Text Solution

    |

  18. Two non-intersecting circles, one lying inside the other arc of radius...

    Text Solution

    |

  19. With the vertices of a Delta ABC as centre three circles are described...

    Text Solution

    |

  20. In the given figure, PT is the tangent of a circle with centre O at po...

    Text Solution

    |