In `DeltaABC, " if " b^(2) + c^(2) = 2a^(2)`, then value of `(cotA)/(cot B + cot C)` is
In `DeltaABC, " if " b^(2) + c^(2) = 2a^(2)`, then value of `(cotA)/(cot B + cot C)` is
A. `(1)/(2)`
B. `(3)/(2)`
C. `(5)/(2)`
D. `(5)/(3)`
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Correct Answer - A
`(cotA)/(cotB cotC) = ((R(b^(2) + c^(2) -a^(2)))/(abc))/((R(a^(2) + c^(2) -b^(2)))/(abc) + (R(a^(2) + b^(2) -c^(2)))/(abc))`
`= (b^(2) + c^(2) -a^(2))/(2a^(2))`
`= (2a^(2) -a^(2))/(2a^(2))`
`= (1)/(2)`
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