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Synthetic Polymers

62.Let a,b>0 ...

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62.Let a,b>0 satisfy a-b=a-b,then (a)a+b=1. (b)a+ab+b<1 (c)a+b>1. (d)None of these

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a, b, c

be a positive real numbers

θ = {tan}^{- 1} \sqrt{\frac{a (a + b + c)}{b c}} + {tan}^{- 1} \sqrt{\frac{b (a + b + c)}{c a}} + {tan}^{- 1} \sqrt{\frac{c (a + b + c)}{a b}}

tan θ

Q. The value of

{tan}^{- 1} \sqrt{\frac{a (a + b + c)}{b c}} + {tan}^{- 1} \sqrt{\frac{b (a + b + c)}{c a}} + {tan}^{- 1} \sqrt{\frac{c (a + b + c)}{a b}}

a, b, c > 0

t a n^{- 1} \sqrt{\frac{a (a + b + c)}{b c}} + t a n^{- 1} \sqrt{\frac{b (a + b + c)}{c a}} + t a n^{- 1} \sqrt{\frac{c (a + b + c)}{a b}}

Q. if a, b, c be positive real numbers and the value of

θ = t a n^{- 1} \sqrt{\frac{a (a + b + c)}{b c}} + t a n^{- 1} \sqrt{\frac{b (a + b + c)}{c a}} + t a n^{- 1} \sqrt{\frac{c (a + b + c)}{a b}}

t a n θ

S = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 & 1 1 & 0 & 1 1 & 1 & 0 \end{matrix} ⎤ ⎥ ⎦

A = ⎡ ⎢ ⎣ \begin{matrix} b + c & c + a & b - c c - b & c + b & a - b b - c & a - c & a + b \end{matrix} ⎤ ⎥ ⎦ (a, b, c \neq 0)

^{- 1}

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Synthetic Polymers

Standard XII Chemistry