Find the angle of intersection of the curves y = x² and x = y² at the origin. A. 0 B. π/2 C. π/4 D. π/3 Answer: B) π/2 Explanation: At (0,0), tangent to y = x² is y = 0 (x-axis) and tangent to x = y² is x = 0 (y-axis). The angle between the axes is π/2 (90°).

imo class 12 application of derivatives

Find the angle of intersection of the curves y = x² and x = y² at the origin.

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Find the angle of intersection of the curves y = x² and x = y² at the origin.

Answer: B) π/2

Explanation: At (0,0), tangent to y = x² is y = 0 (x-axis) and tangent to x = y² is x = 0 (y-axis). The angle between the axes is π/2 (90°).