Question

The two curves \( x^3 - 3xy^2 + 2 = 0 \) and \( 3x^2y - y^3 = 2 \) are

• A. cut at right angles
• B. touch each other
• C. cut at an angle \( \frac{\pi}{3} \)
• D. cut at an angle \( \frac{\pi}{4} \)

Hint:

To determine if curves cut at right angles, calculate the gradients of the curves at their point of intersection and use the formula for the angle between two curves.

Answer 1

The Correct Option is A