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

Given that the the parabolas y2 = 4 ax and x2 = 4ayDifferentiating both w.r.t. x,At origin,m1=infinity and m2 = 0⇒ θ=90°

Q22 of 149 Page 16

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

Given that the the parabolas y² = 4 ax and x² = 4ay

Differentiating both w.r.t. x,

At origin,

m₁=infinity and m₂ = 0

⇒ θ=90°

If the curves y = 2 e^x and y = ae^–x interest orthogonally, then a =

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 curves y = 2 sin²x and y = cos² x at is

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