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Steps are given to determine the centre of curvature at a given point on a conic. Arrange the steps. Let P be the given point on the conic and F is the focus. Join P with F. Draw a line NR perpendicular to PN and cutting PF or PF-extended at R. Draw a line RO perpendicular to PR and cutting PN-extended at O which is centre of curvature. At P, draw a normal PN, cutting the axis at N.

Steps are given to determine the centre of curvature at a given point on a conic. Arrange the steps. Let P be the given point on the conic and F is the focus. Join P with F. Draw a line NR perpendicular to PN and cutting PF or PF-extended at R. Draw a line RO perpendicular to PR and cutting PN-extended at O which is centre of curvature. At P, draw a normal PN, cutting the axis at N. Correct Answer i, iv, ii, iii

The centre O of the circle of curvature lies on the normal to the curve at P. This centre is called center of curvature at P. So for that, we first found normal and accordingly the curve we found center of curvature.

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