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  4. If x+y=k is a tangent to the parabola y2=12x, then k is equal to

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Q. If $ x+y=k $ is a tangent to the parabola $ {{y}^{2}}=12x, $ then k is equal to

J & K CETJ & K CET 2009

Solution:

If $ x+y=k\Rightarrow y=-x+k $
is a tangent to the parabola
$ {{y}^{2}}=12x, $
then $ k=\frac{3}{-1}=-3 $
$ \left[ \because \,\,\,c=\frac{a}{m} \right] $