The angle of intersection of the curves y = 2 sin2x and y = cos2 x at is

Given that the curve y = 2 sin2x and y = cos2 xDifferentiating both w.r.t. x,At ,m1= √3 and ⇒θ=tan-1 3√3

Q23 of 149 Page 16

The angle of intersection of the curves y = 2 sin²x and y = cos² x at is

Given that the curve y = 2 sin²x and y = cos² x

Differentiating both w.r.t. x,

At ,

m₁= √3 and

⇒θ=tan^-1 3√3

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 angle of intersection of the parabolas y² = 4 ax and x² = 4ay at the origin is

Any tangent to the curve y = 2x⁷ + 3x + 5.

The point on the curve 9y² = x³, where the normal to the curve makes equal intercepts with the axes is