Home
Class 11
MATHS
In triangle ABC, base BC and area of tri...

In triangle ABC, base BC and area of triangle D are fixed. Locus of the centroid of triangle ABC is a striaght line is

A

parallel to side BC

B

right bisector of side BC

C

right angle of BC

D

inclined at an angle `sin^(-1)(( sqrt(Delta))/(BC))` to side BC

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (More than one correct answer Type Questions)|5 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (Linked Comprehension Type Questions)|9 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-I) (Straight Objective Type Questions)|42 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC

Vertices of a triangle ABC are A (3,5) B(7,4) and C (10,8). The mid point of the side BC, CA and AB are D,E and F respectively. Are the centroids of triangle ABC and d triangle DEF are same or not?

Ratio of area of the incircle to the area of triangle ABC

In triangle ABC, bar(AD) is median. If A = (1, 1) and D = (1, -5), then the centroid of the triangle is

The vertices A and B of a triangle ABC are (2,5),(4,-11),C moves on the line L=9x+7y+4=0 . Then the locus of the centroid of the triangle ABC is parallel to

If triangle ABC ~ triangle DEF if DE : AB = 2 : 3 and area of triangle DEF = 44 sq.units then find the area of triangle ABC .

D,E,F are the mid points of the sides BC, CA and AB respectively of a triangle ABC . Determine the ratio of the areas of triangle DEF and triangle ABC .

Statement 1: In a triangle ABC , If base BC is fixed and perimeter of the triangle is constant, then vertex A moves on an Ellipse. Statement 2: If the sum of distances of a point P from two fixed points is constant then locus of P is a real ellipse

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (Straight Objective Type Questions)
  1. In DeltaABC, 4R "sin"(A)/(2)"sin"(B)/(2)"sin"(C)/(2)=

    Text Solution

    |

  2. ( a cos A + b cos B + c cos C )/( a +b +c ) =

    Text Solution

    |

  3. r("cot"(A)/(2)"cot"(B)/(2)"cot"(C)/(2))=

    Text Solution

    |

  4. In DeltaABC, if a=26, b=30 conc C=63//65 then r(1):r(2):r(3)=

    Text Solution

    |

  5. In triangle ABC r=(R)/(6) and r(1)=7r. Then the mesaure of angle A=

    Text Solution

    |

  6. In DeltaABC if C=90^(@), 1+sinA-sinB=

    Text Solution

    |

  7. If 3R=4r, then cosA+cosB+cosC=

    Text Solution

    |

  8. In triangle ABc, if A-B=120^(@) and R=8r where R r have their usual m...

    Text Solution

    |

  9. In triangle ABC, base BC and area of triangle D are fixed. Locus of th...

    Text Solution

    |

  10. If alpha,beta,gamma are the lengths of the altitudes of Delta ABC, the...

    Text Solution

    |

  11. If 3, 10 and 15 are the altitudes of a triangle then area of incircle ...

    Text Solution

    |

  12. In a triangle ABC a = 7, b = 8, c = 9 BD is the median and BE is the a...

    Text Solution

    |

  13. If h(1),h(2),h(3) are lengths of altitudes of a Delta^("le")ABC and r ...

    Text Solution

    |

  14. The lengths of medians of a right angled triangle through its acute an...

    Text Solution

    |

  15. In a triangle ABC the maximum value of (a cos^(2)A//2 +b cos^(2)B//2+c...

    Text Solution

    |

  16. The sides of a triangle inscribed in a given circle subtend angles alp...

    Text Solution

    |

  17. Statement-1: If a, b, c are the sides of a triangle, then the minimum ...

    Text Solution

    |

  18. Given an isosceles triangle, whose one angle is 120^(@) and radius of ...

    Text Solution

    |

  19. Two medians drawn from the acute acute angles of a right-angled triang...

    Text Solution

    |

  20. If incircle of radius 4 of a triangle ABC touches the sides BC, CA, AB...

    Text Solution

    |