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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Let a,ba, b and cc be the sides of a triangle and a2+b2+c2ab+bc+ca=P\frac{a^2+b^2+c^2}{a b+b c+c a}=P. Then
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Correct option: D
1≤P<21 \leq P < 2
Option D (1≤P<21 \leq P < 2) is correct because the ratio a2+b2+c2ab+bc+ca\frac{a^2+b^2+c^2}{ab+bc+ca} is always greater than or equal to 1, and less than 2 for a triangle.

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