Question

The angle of intersection of curves x = y², 3y = 5 - 2x³ at (1, 1) is ______.

Options

• `pi/4`

• `pi/3`

• `pi/2`

• π

Answer 1

The angle of intersection of curves x = y², 3y = 5 - 2x³ at (1, 1) is `underline(pi/2)`.

Explanation:

`x=y^2 => 1 = 2y(dy/dx)=>(dy/dx)_(1, 1)=1/2=m_1"(say)"`

`3y=5-2x^3=>3dy/dx=-6x^2`

`=>(dy/dx)_(1,1)=-2=m_2"(say)"`

since m₁m₂ = -1

∴ The angle of intersection is `pi/2`.