Trigonometric Equations Question 207

Question: In a $ \Delta ABC,\ r_1<r_2<r_3, $ then

[EAMCET 2003]

Options:

A) $ a<b<c $

B) $ a>b>c $

C) $ b<a<c $

D) $ a<c<b $

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Answer:

Correct Answer: A

Solution:

  • In a $ \Delta ABC,r_1<r_2<r_3 $
    Þ $ \frac{1}{r_1}>\frac{1}{r_2}>\frac{1}{r_3}\Rightarrow \frac{s-a}{\Delta }>\frac{s-b}{\Delta }>\frac{s-c}{\Delta } $
    Þ $ s-a>s-b>s-c\Rightarrow -a>-b>-c $ Þ $ a<b<c $ .