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Steps are given to draw the evolute of a hypocycloid. Arrange the steps. i. Draw the diameter PQ of the rolling circle. Join Q with O, the centre of the directing circle. ii. Mark a number of points on the hypocycloid and similarly, obtain centres of curvature at these points. The curve drawn through these centres is the evolute of the hypocycloid. iii. Produce PN to cut OQ- produced at Op, which is the centre of curvature at the point P. iv. Mark a point P on the hypocycloid and draw the normal PN to it.

Steps are given to draw the evolute of a hypocycloid. Arrange the steps. i. Draw the diameter PQ of the rolling circle. Join Q with O, the centre of the directing circle. ii. Mark a number of points on the hypocycloid and similarly, obtain centres of curvature at these points. The curve drawn through these centres is the evolute of the hypocycloid. iii. Produce PN to cut OQ- produced at Op, which is the centre of curvature at the point P. iv. Mark a point P on the hypocycloid and draw the normal PN to it. Correct Answer iv, i, iii, ii

Evolute is generally the locus of the center of curvature from a point on any curve. So for that we first found the center of curvature of a point and then similarly other joining the whole gives us the evolute.

Related Questions

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