3. Find the equation of the tangent to the curve x + 2y = 8, which .
refer to attachment
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y=mx+
m
a
is a tangent for all values of m where a=2.
For m=1,y=x+2, so the equation of the tangent perpendicular to the given tangent is y=−x−2.
The required point is the point of intersection to there tangents i.e., (−2,0).
Alternately perpendicular tangents to a parabola intersect on the directrix, x+2=0.
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