The radius of curvature ρ of a Cartesian curve y = f(x) is given by:

Type: MCQ • Marks: 1

A. d²y/dx² / (1 + (dy/dx)²)

B. 1 + (dy/dx)²

C. (1 + (dy/dx)²) / d²y/dx²

D. (1 + (dy/dx)²)³ᐟ² / |d²y/dx²|

Explanation

Standard formula for radius of curvature in Cartesian coordinates: ρ = [1 + (dy/dx)²]^(3/2) / |d²y/dx²|.

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