Show that the normal at any pointθto the curve is at a constant distance from the origin.

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We have x = a cos θ + a θ sin θ. ∴ Slope of the normal at any point θ is. The equation of the normal at a given point (x, y) is given by, Now, the perpendicular distance of the normal from the origin is Hence, the perpendicular distance of the normal from the origin...
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We have x = a cos θ + a θ sin θ. ∴ Slope of the normal at any point θ is. The equation of the normal at a given point (x, y) is given by, Now, the perpendicular distance of the normal from the origin is Hence, the perpendicular distance of the normal from the origin is constant. read less
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