Question

For the given figure, which of the following conditions is true:

Options

• cot γ < cot β

• cot γ > cot α

• cot β > cot α

• cot β < cot γ

Answer 1

cot γ < cot β

Explanation:

From figure,

\[\cot \alpha = \frac{OA}{AB}\]

\[\cot \beta = \frac{OA}{AC}\]

\[\cot \gamma = \frac{OA}{AD}\]

Since, \[AB < AC < AD\]

∴ \[\cot \gamma < \cot \beta < \cot \alpha\]