Question

the locus of center of curvature is called​

Answer 1

$\huge\underbrace{\orange{answer}}$❤️

It is called focal point or focus.

Answer 2

The locus of the center of curvature of the given curve is called the Evolute of the curve.

• The evolute is also defined as the set of the center of curvatures.
• The circle has only one evolute at its center.
• The evolute that belongs to the parabola is called the semicubical parabola.
• The equation of the evolute is (x-α)² + (y-β)² = ρ².

Hence, the locus of the center of the curvature is called the Evolute of the Curve.