Question:
If the radius of curvature of the Folium \( x^3 + y^3 - 3xy = 0 \) at the point \( (3/2, 3/2) \) is 5, then the value of \( b^2 + 2a + 1 \) is:
If the radius of curvature of the Folium \( x^3 + y^3 - 3xy = 0 \) at the point \( (3/2, 3/2) \) is 5, then the value of \( b^2 + 2a + 1 \) is:
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Use the formula for the radius of curvature to determine the geometric properties of curves.
Updated On: Jan 6, 2025
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The Correct Option is C
Solution and Explanation
The radius of curvature is found using the formula for curvature at a point on the curve. After computing the radius, we apply the given formula to find the final value of \( b^2 + 2a + 1 \).
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