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Question

If a,b and c are the sides of a triangle, then the minimum value of

2ab+ca+2bc+ab+2ca+bc is

A
3
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B
9
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C
6
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D
1
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Solution

The correct option is C 6
On simplifying the given equation, we get
asa+bsb+csc
Now considering an equilateral triangle
3×2a3a2a
=6
Hence the maximum value for the above expression is 6.

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