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Question

In Q. No. 9, what is the value of a2bc+b2ca+c2ab?


Solution

The co-ordinates of the vertices are (a, b); (b, c) and (c, a)

The co-ordinate of the centroid is (0, 0)

We know that the co-ordinates of the centroid of a triangle whose vertices are is-

So,

Compare individual terms on both the sides-

Therefore,

We have to find the value of -

Multiply and divide it by to get,

Now as we know that if,

Then,

So,


Mathematics
RD Sharma (2014)
Standard X

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