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tangents and normals
find the equations of all lines having slope 2 and that are tangent to the curve y=1 / (x – 3) x is not equal to 3

taniska , 10 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello Student,
Please find answer to your question below

$y = \frac{1}{x-3}$
Slope of tangent: y’ = 2
$y' = \frac{-1}{(x-3)^2}$
$\frac{-1}{(x-3)^2} = 2$
$(x-3)^2 = -2$
No real root of this equation. So no tangent of slope 2 can be drawn to the curve.

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