MCQ
જો $\theta=cot^{-1}+2cot^{-1}5+cot^{-1}11,$ તો $cot \ \ \theta=$
- A$\frac{43}{46}$
- ✓$\frac{46}{43}$
- C$\frac{41}{55}$
- D$\frac{81}{110}$
$Q=Cot^{-1}2+Cot^{-1}5+Cot^{-1}11$
$Q=tan^{-1}\frac{1}{2}+tan^{-1}\frac{1}{5}+tan^{-1}\frac{1}{11}$
સુત્ર મુજબ
$Q=tan^{-1}\frac{7}{9}+tan^{-1}\frac{1}{11}$
સુત્ર મુજબ
$Q=tan^{-1}\frac{86}{92}$
$Q=cot^{-1}\frac{46}{43}$
$cot\theta=\frac{46}{43}$
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વિધાન $ 1: $ જો $A \ne I,A \ne - I$ તો $\det \left( A \right) = - 1$
વિધાન $2:$ જો $A \ne I,A \ne - I$ તો ${\rm{tr}}\left( A \right) \ne 0$