32. The coordinates of a point on a curve are given by
a + b
ar
r = a sint - b sin
b
· y = a cost - b cos
b
Show that the equation of the tangent at the point whose parameter ist, is
atb
a - b
XCOS -1 - ysin -1 + (a + b) sin
26
26
25
and the radius of curvature at this point is
4 ab
sin
a + b 26
-1=0
a-bi.
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