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Question

In ABC,A(1,1) and P,Q,R are respectively the midpoints of sides BC,CA and AB where P(3,1). If centroid of PQR is (α,β) then |α+β|

A
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B
1
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C
2
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D
3
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Solution

The correct option is C 2
Centroid of ABC divides AP in the ratio 2:1
G(53,13)
We know that centroid of triangle and triangle formed by its midpoints are same.
centroid of PQR(α,β)(53,13)
|α+β|=2

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