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Question

If the origin is the centriod 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.

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Solution

Here P(2a, 2, 6), Q(4, 3b 10) and R(8, 14, 2c) are vertices of triangle PQR.

Coordinates of centriod of ΔPQR is

(2a4+83,2+3b+143,610+2c3)

= (2a+43,3b+163,2c43)

But is it given that coordinates of centriod is (0,0,0)

2a+43=0 2a+4=0 a=2

3b+163=0 3b+16=0

b=163

2c43=0 2c4=0 c=2.


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