Home
Class 14
MATHS
If in a DeltaABC,'S' is the circumcentre...

If in a `DeltaABC,'S'` is the circumcentre then :

A

S is equidistant from all the vertices of a triangle

B

S is equidistant from all the sides of a triangle

C

AS, BS and CS are the angular bisectors

D

AS, BS and CS produced are the altitudes on the opposite sides.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos
  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

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

The orthocentre of the Delta ABC is B and the circumcentre is S(a,b). If A is the origin,then the coordinates of C are

Let p be the position vector of orthocentre and g is the position vector of the centroid of DeltaABC , where circumcentre is the origin. If p=kg , then the value of k is

Circumcentre of triangle

In the adjoining figure, P is the circumcentre of the DeltaABC . mangle APC=118^@ and mangle PBC=45^@ , then find: (i) m(arc BXC) (ii) m(arc BCA)

If S is the circumcentre,O is the orthocentre of Delta ABC, then bar(SA)+( O is the orthocentre )/(SC) equals

In DeltaABC , equation of side BC is x+y-6=0, also the circumcentre and orhtocentre are (3, 1) and (2, 2) respectively, then the equation of the circumcircle of DeltaABC is

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. The point of intersection of the angle bisectors of a triangle is :

    Text Solution

    |

  2. A triangle PQR is formed by joining the mid-points of the sides of a t...

    Text Solution

    |

  3. If in a DeltaABC,'S' is the circumcentre then :

    Text Solution

    |

  4. If AD, BE, CF are the altitudes of DeltaABC whose orthocentre is H, th...

    Text Solution

    |

  5. In a right angled DeltaABC, angleC=90^(@) and CD is the perpendicular ...

    Text Solution

    |

  6. In an equilateral triangle ABC, if a, b and c denote the lengths of pe...

    Text Solution

    |

  7. What is the ratio of side and height of an equilateral triangle?

    Text Solution

    |

  8. The triangle is formed by joining the mid-points of the sides AB,BC an...

    Text Solution

    |

  9. One side other than the hypotenuse of right angle isoceles triangle is...

    Text Solution

    |

  10. Any two of the four triangles formed by joining the mid - points of th...

    Text Solution

    |

  11. Delta ABC ,angle B external angle C meets at P angle A = 80 " then ...

    Text Solution

    |

  12. The point in the plane of a triangle which is at equal perpendicular d...

    Text Solution

    |

  13. Incentre of a triangle lies in the interior of :

    Text Solution

    |

  14. In a triangle PQR, PQ=20 cm and PR =6 cm, the side QR is :

    Text Solution

    |

  15. The four triangles formed by joining the pairs of mid - points of the ...

    Text Solution

    |

  16. O is orthocentre of a triangle PQR, which is formed by joining the mid...

    Text Solution

    |

  17. In a DeltaABC, a line PQ parallel to BC cuts AB at P and AC at Q. If B...

    Text Solution

    |

  18. Which of the following is true, in the given figure, where AD is the a...

    Text Solution

    |

  19. If D is such a point on the side BC of triangle ABC that AB/AC=BD/CD, ...

    Text Solution

    |

  20. In right angled DeltaABC,angleB=90^(@), if P and Q are points on the ...

    Text Solution

    |