![\huge\green{\boxed{\sf QuEsTioN}} \huge\green{\boxed{\sf QuEsTioN}}](https://tex.z-dn.net/?f=%5Chuge%5Cgreen%7B%5Cboxed%7B%5Csf+QuEsTioN%7D%7D)
Show that the tangent of an angle between the lines
![\frac{x}{a} + \frac{y}{b} = 1 \frac{x}{a} + \frac{y}{b} = 1](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%7D%7Ba%7D++%2B++%5Cfrac%7By%7D%7Bb%7D++%3D+1)
and
![\frac{x}{a} - \frac{x}{b} = 1 \frac{x}{a} - \frac{x}{b} = 1](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%7D%7Ba%7D++-++%5Cfrac%7Bx%7D%7Bb%7D++%3D+1)
is
![\frac{2ab}{a {}^{2} - b {}^{2} } \frac{2ab}{a {}^{2} - b {}^{2} }](https://tex.z-dn.net/?f=+%5Cfrac%7B2ab%7D%7Ba+%7B%7D%5E%7B2%7D++-+b+%7B%7D%5E%7B2%7D+%7D+)
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Answered by
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Answer:
refer to the attachment
Attachments:
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