The angle of intersection between the curves x2=8 y and y2=8 x at (0,0) is:

Question

The angle of intersection between the curves x2=8 y and y2=8 x at (0,0) is: (A) (π/4) (B) (π/3) (C) (π/6) (D) (π/2)

Tardigrade Admin · Accepted Answer

Angle between curves is basically angle between the tangents at the point of intersection. And it is clear from the figure that angle between the curves is (π/2). <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/0bf4604c80ddc21bbd3d47e8038c62c8-.png" />

Q. The angle of intersection between the curves $x^{2} = 8 y$ and $y^{2} = 8 x$ at $(0, 0)$ is:

$\frac{π}{4}$

$\frac{π}{3}$

$\frac{π}{6}$

$\frac{π}{2}$

Angle between curves is basically angle between the tangents at the point of intersection. And it is clear from the figure that angle between the curves is $\frac{π}{2}$ .

Q. The angle of intersection between the curves x2=8y and y2=8x at (0,0) is:

4π​

3π​

6π​

2π​