Home
Class 12
MATHS
In an equilateral triangle, the incentre...

In an equilateral triangle, the incentre, circumcentre, orthocentre and centroid are :

A

collinear

B

concyclic

C

coincide

D

None of these

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

Statement-1: For triangle whose two vertices are ends of a double ordinate for a parabola and third vertex lies on axis of same parabola incentre,circumcentre,centroid are collinear.statementr-2: In isosceles triangle incentre,circumcentre,orthocentre,centroid all lie on same line.

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

Statement 1: If in a triangle, orthocentre, circumcentre and centroid are rational points, then its vertices must also be rational points. Statement : 2 If the vertices of a triangle are rational points, then the centroid, circumcentre and orthocentre are also rational points.

A triangle has side lengths 18, 24 and 30. Find the area of the triangle whose vertices are the incentre, circumcentre and centroid of the triangle.

In a DeltaABC , incentre, circumcentre, and orthocentre coincide each other, then anglA+angleB= _________

If z_1 , z_2 and z_3 ( in anticlockwise sense) represents the vertices of a triangle, find the centroid, incentre, circumstance and the orthocentre of the triangle.

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

    |