question_answer

In a\[\Delta ABC,\]let \[\angle C=\pi /2,\] if r is the inradius and R is the circumradius of the\[\Delta ABC,\]then \[2(r+R)\]equals     AIEEE  Solved  Paper-2005

A) \[c+a\] 

B)        \[a+b+c\]           

C)        \[a+b\]

D)        \[b+c\]

Correct Answer: C

Solution :

Use formulae,and We know that,                            \[(\because \,C={{90}^{\text{o}}})\]       ...(i) and                                               ...(ii) On adding Eqs. (i) and (ii), we get