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Steps are given to determine the centre of curvature at a given point on an Ellipse. Arrange the steps. Let P be the given point on the conic and F is one of the focus. i. Join A with C. ii. Then O1 and O2 are the centres of curvature when the point P is at A and C respectively. iii. Draw a rectangle AOCE in which AO = ½ major axis and CO = ½ minor axis. iv. Through E, draw a line perpendicular to AC and cutting the major axis at O1 and the minor axis O2.

Steps are given to determine the centre of curvature at a given point on an Ellipse. Arrange the steps. Let P be the given point on the conic and F is one of the focus. i. Join A with C. ii. Then O1 and O2 are the centres of curvature when the point P is at A and C respectively. iii. Draw a rectangle AOCE in which AO = ½ major axis and CO = ½ minor axis. iv. Through E, draw a line perpendicular to AC and cutting the major axis at O1 and the minor axis O2. Correct Answer iii, i, iv, ii

First we just took the arbitrary line passing through one of the foci and then extended up to the length from that focus to opposite vertex and then extended further up to the length of the distance between the vertex and respective focus. Drawing parallel lines on to the focus gave us O.

Related Questions

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