The tangents at two points P. Q on the Cycloid x = a ( – Sin ), y = a (1-Cos )
are at right angles, show that if P1, P2 be the radii of curvature a these points, then
P1
2 + P2
2 = 16a2

Question

The tangents at two points P. Q on the Cycloid x = a ( – Sin ), y = a (1-Cos ) are at right angles, show that if P1, P2 be the radii of curvature a these points, then P1 2 + P2 2 = 16a2

Saurabh Koranglekar · Answer

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The tangents at two points P. Q on the Cycloid x = a ( – Sin ), y = a (1-Cos ) are at right angles, show that if P1, P2 be the radii of curvature a these points, then P1 2 + P2 2 = 16a2

The tangents at two points P. Q on the Cycloid x = a ( – Sin ), y = a (1-Cos )
are at right angles, show that if P1, P2 be the radii of curvature a these points, then
P1
2 + P2
2 = 16a2

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The tangents at two points P. Q on the Cycloid x = a ( – Sin ), y = a (1-Cos ) are at right angles, show that if P1, P2 be the radii of curvature a these points, then P1 2 + P2 2 = 16a2

The tangents at two points P. Q on the Cycloid x = a ( – Sin ), y = a (1-Cos )are at right angles, show that if P1, P2 be the radii of curvature a these points, thenP12 + P22 = 16a2

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The tangents at two points P. Q on the Cycloid x = a ( – Sin ), y = a (1-Cos )
are at right angles, show that if P1, P2 be the radii of curvature a these points, then
P1
2 + P2
2 = 16a2