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.