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.

• A. i, iv, ii, iii
• B. iv, i, iii, ii
• C. iii, i, iv, ii
• D. ii, iv, i, iii