Match the column: Column-I Column-II (a) In a \( \triangle \mathrm{ABC}, 2 \mathrm{~B}=\mathrm{A...
Match the column:
Column-I Column-II
(a) In a \( \triangle \mathrm{ABC}, 2 \mathrm{~B}=\mathrm{A}+\mathrm{C} \)
(p) 8
P and \( \mathrm{b}^{2}=\mathrm{ac} \). Then the
W value of \( \frac{a^{2}(a+b+c)}{3 a b c} \) is equal to
(b) In any right angled triangle
(q) 1 \( \mathrm{ABC} \), the value of
\[
\frac{\mathrm{a}^{2}+\mathrm{b}^{2}+\mathrm{c}^{2}}{\mathrm{R}^{2}}
\]
is always equal to (where \( \mathrm{R} \) is the circumradius of \( \triangle \mathrm{ABC} \) )
(c) In a \( \triangle \mathrm{ABC} \) if \( \mathrm{a}=2, \mathrm{bc}=9 \), then (r) 5 the value of \( 2 R \Delta \) is equal to
(d) In a \( \triangle \mathrm{ABC}, \mathrm{a}=5, \mathrm{~b}=3 \) and \( \mathrm{c}=7 \), (s) 9 then the value of \( 3 \cos \mathrm{C}+7 \cos \mathrm{B} \) is equal to
Select the correct option from following
(A) \( \mathrm{a} \rightarrow \mathrm{q} ; \mathrm{b} \rightarrow \mathrm{r} ; \mathrm{c} \rightarrow \mathrm{p} ; \mathrm{d} \rightarrow \mathrm{s} \)
(B) \( \mathrm{a} \rightarrow \mathrm{q} ; \mathrm{b} \rightarrow \mathrm{p} ; \mathrm{c} \rightarrow \mathrm{s} ; \mathrm{d} \rightarrow \mathrm{r} \)
(C) \( \mathrm{a} \rightarrow \mathrm{r} ; \mathrm{b} \rightarrow \mathrm{q} ; \mathrm{c} \rightarrow \mathrm{s} ; \mathrm{d} \rightarrow \mathrm{p} \)
(D) \( \mathrm{a} \rightarrow \mathrm{s} ; \mathrm{b} \rightarrow \mathrm{p} ; \mathrm{c} \rightarrow \mathrm{q} ; \mathrm{d} \rightarrow \mathrm{r} \)
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