The point on the curve y = 12x – x2 where the slope of the tangent is zero will be

Q8 of 149 Page 16

The point on the curve y = 12x – x² where the slope of the tangent is zero will be

Given that the curve y = 12x – x²

The slope of the curve

Given that the slope of the tangent = 0

⇒ 12 – 2x = 0

⇒ x = 6

So, y = 72 – 36

⇒ y = 36

So, the correct option is D.

The point on the curve y = x² – 3x + 2 where tangent is perpendicular to y = x is

The point on the curve y² = x where tangent makes 45° angle with x-axis is

The angle between the curves y² = x and x² = y at (1, 1) is

The equation of the normal to the curve 3x² – y² = 8 which is parallel to x + 3y = k is