jee-main 2022 Q68

jee-main · India · session1_25jun_shift1 Sine and Cosine Rules Circumradius or incircle radius computation

Let $a , b$ and $c$ be the length of sides of a triangle $ABC$ such that $\frac { a + b } { 7 } = \frac { b + c } { 8 } = \frac { c + a } { 9 }$. If $r$ and $R$ are the radius of incircle and radius of circumcircle of the triangle $ABC$, respectively, then the value of $\frac { R } { r }$ is equal to
(1) 2
(2) $\frac { 3 } { 5 }$
(3) $\frac { 5 } { 2 }$
(4) 1

Let $a , b$ and $c$ be the length of sides of a triangle $ABC$ such that $\frac { a + b } { 7 } = \frac { b + c } { 8 } = \frac { c + a } { 9 }$. If $r$ and $R$ are the radius of incircle and radius of circumcircle of the triangle $ABC$, respectively, then the value of $\frac { R } { r }$ is equal to\\
(1) 2\\
(2) $\frac { 3 } { 5 }$\\
(3) $\frac { 5 } { 2 }$\\
(4) 1

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