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

Given two curves y2 = x and x2 = yDifferentiating both the equations w.r.t. x,For (1, 1):Thus we get

Q9 of 149 Page 16

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

Given two curves y² = x and x² = y

Differentiating both the equations w.r.t. x,

For (1, 1):

Thus we get

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

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

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

The equation of tangent at those points where the curve y = x² – 3x + 2 meets x-axis are