Home
Class 10
MATHS
If the centroid of Delta ABC having vert...

If the centroid of `Delta ABC` having vertices A(a, b), B(b, c) and C(c, a) is the origin, then find the value of (a+b+c).

Text Solution

Verified by Experts

The correct Answer is:
a+b+c =0
Centroid is `((a+b+c)/(3), (a+b+c)/(3))`
So, `(a+b+c)/(3) = 0 rArr a+b+c = 0.`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|34 Videos

  • COORDINATE GEOMETRY

    RS AGGARWAL|Exercise Exercise 6C|24 Videos

  • CONSTRUCTIONS

    RS AGGARWAL|Exercise Test Yourself|10 Videos

  • HEIGHTS AND DISTANCES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|25 Videos

Similar Questions

Explore conceptually related problems

The centroid of a Delta ABC with vertices A(-4, 6), B(2,-2) and C(2, 5) is:

Centroid of Delta ABC with the vertices A(6,3) , B(1,-4) and C(-2,7) is

If the centroid of the triangle formed by the points (a,b),(b,c) and (c,a) is at the origin, then find the value of a^(3)+b^(3)+c^(3).

If the vertices of DeltaABC are A(a,b),B(b,c) and C(c,a) and its centrid is the origin, then the value of (a+b+c) is :

Find the centroid of Delta ABC whose vertices are A(-1, 0), B(5, -2) and C(8, 2).

Find the centroid of Delta ABC whose vertices are A(2, 2), B(-4, -4) and C(5, -8).

Find the centroid of Delta ABC whose vertices are A(-3, 0), B(5, -2), and C(-8, 5).

If the origin is the centroid of a triangle ABC having vertices A(a ,1,3), B(-2, b ,-5)a n d C(4,7, c) , find the values of a , b , cdot

If the centroid of the triangle formed by points P(a,b),Q(b,c) and R(c,a) is at the origin, what is the value of a+b+c?

If the centroid of the triangle formed by points P ( a , b ) , Q ( b , c ) and R ( c , a ) is at the origin, what is the value of a + b + c ? In Q. No. 169, what is the value of (a^2)/(b c)+(b^2)/(c a)+(c^2)/(a b) ?

RS AGGARWAL-COORDINATE GEOMETRY-Exercise 6D
  1. Points A(-1, y) and B(5, 7) lie on a circle with centre O(2, -3y) . Fi...

    Text Solution

    |

  2. If the point A(0, 2) is equidistant from the points B(3, p) and C(p, 5...

    Text Solution

    |

  3. ABCD is rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3...

    Text Solution

    |

  4. If the point P(k-1, 2) is equidistant from the point A(3, k) and B(k,...

    Text Solution

    |

  5. Find the ratio in which the point P(x, 2) divides the join of A(12, 5)...

    Text Solution

    |

  6. Prove that the diagonals of a rectangle ABCD with vertices A(2, -1), B...

    Text Solution

    |

  7. Find the lengths of the medians AD and BE of Delta ABC whose vertices ...

    Text Solution

    |

  8. If the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ra...

    Text Solution

    |

  9. Find the point on x-axis which is equidistant from points A(-1, 0) and...

    Text Solution

    |

  10. Find the distance between the points ((-8)/(5), 2) "and" ((2)/(5), 2)

    Text Solution

    |

  11. Find the value of a so that the point (3,a) lies on the line represent...

    Text Solution

    |

  12. If the points A(4, 3) and B(x, 5) lie on a circle with the centre O(2,...

    Text Solution

    |

  13. If P(x, y) is equidistant from the points A(7, 1) and B(3, 5), find th...

    Text Solution

    |

  14. If the centroid of Delta ABC having vertices A(a, b), B(b, c) and C(c,...

    Text Solution

    |

  15. Find the centroid of Delta ABC whose vertices are A(2, 2), B(-4, -4) a...

    Text Solution

    |

  16. In what ratio does the point C(4, 5) divide the join of A(2, 3) and B(...

    Text Solution

    |

  17. If the points A(2, 3), B(4, k) and C(6, -3) are collinear, find the va...

    Text Solution

    |