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Equation of Tangent at a Point (x,y) in Terms of f'(x)

Find separate...

Question

Find separate equations of the lines represented by $x y - 2 x - 3 y + 6 = 0$ .

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Solution

$\begin{matrix} x y = 2 x - 3 y + 6 = 0 \Rightarrow x (y - 2) - 3 (y - 2) = 0 \Rightarrow (x - 3) (y - 2) = 0 \Rightarrow s e p e r a t e e q u a t i o n i s \Rightarrow x - 3 = 0 \Rightarrow y - 2 = 0 A n s . \end{matrix}$

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Equation of Tangent at a Point (x,y) in Terms of f'(x)

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