The point on the curve y = 6x – x2 at which the tangent to the curve is inclined at to the line x + y = 0 is

The curve y = 6x – x2 has a point at which the tangent to the curve is inclined at to the line x + y = 0.


Differentiating w.r.t. x,





On solving we get x = 3


Thus y = 9


Hence, option B is correct.

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