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Find the curves for which the length of ...

Find the curves for which the length of normal is equal to the radius vector.

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To find the curves for which the length of the normal is equal to the radius vector, we will follow these steps: ### Step 1: Understand the Definitions - **Length of the Normal**: For a curve represented by \( y = f(x) \), the length of the normal at a point \( (x, y) \) can be expressed as: \[ L_n = y + \frac{dy}{dx} \] - **Radius Vector**: The radius vector \( r \) at a point \( (x, y) \) is given by: ...
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