Home
Class 10
MATHS
If the centroid of the triangle formed b...

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`.

Text Solution

Verified by Experts

The correct Answer is:
3abc
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( Short Answer Questions-I )|73 Videos

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( Long Answer Questions )|18 Videos

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise HOTS (Higher Order Thinking Skllls)|7 Videos

  • CIRCLES

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|11 Videos

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|11 Videos

Similar Questions

Explore conceptually related problems

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) ?

If the centroid of the triangle formed by the points (a,b),(b,c) and (c,a) is at the origin,then a^(3)+b^(3)+c^(3)=abc(b)0(c)a+b+c(d)3abc

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).

If the centroid of the triangle formed by (a,b),(b,1),(1,a) is the origin, then a^(3)+b^(3)+1 =

If the centroid of the triangle formed by (a,b),(b,1),(1,a) is the origin,then a^(3)+b^(3)+1=

The centroid of the triangle formed by (a ,b),(b,c),(c,a) is the origin and a^(3)+b^(3)+c^(3)=k(abc) ,then the value of "k" is

13.If the origin is the centroid of the triangle PQR with vertices P(2a,2,6) , Q(-4,3b,-10) and R(8,14,2c) then find the values of a,b and c.