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Find the equation of all lines having sl...

Find the equation of all lines having slope 2 and being tangent to the curve `y+2/(x-3)=0`.

Text Solution

Verified by Experts

Eqaution of the curve is,
`y +2/(x-3) = 0`
Differentiating it w.r.t. `x`,
`=>dy/dx - 2/(x-3)^2 = 0`
`=> dy/dx = 2/(x-3)^2`
Now, it is given that slope of the tangent is `2`.
`:. dy/dx = 2`
`=>2/(x-3)^2 = 2`
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