Curvature | Parametric Form | Lecture -5 | Differential Calculus | BSc Maths | By Lovely ma'am |

Curvature | Parametric Form | Lecture -5 | Differential Calculus | BSc Maths | By Lovely ma'am | #bscmaths #maths #mathslecture #calculus #studywithlovely #mathematics

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Curvature | Differential Calculus | BSc Maths | By Lovely ma'am |
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Let be any point on the curve.
Agar hum curve ke bahut close do points aur lein, to in teeno points se ek circle pass hota hai.
Jab hum aur ko ke paas le aate hain (yaani limit me le jaate hain), to jo final circle milta hai usse kehte hain —
👉 Circle of Curvature

Is circle ka centre hota hai — Centre of Curvature
Aur us circle ka radius hota hai — Radius of Curvature

Curvature means the measure of bending of a curve at a point. It shows how sharply a curve turns. The smaller the radius of curvature, the greater is the curvature. If is a point on the curve, and , are two nearby points, then the circle passing through and is called the circle of curvature. Its centre is called the centre of curvature, and its radius is called the radius of curvature. Curvature is defined as the reciprocal of the radius of curvature.


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