Radius of curvature at any point on the curve x = a (0 + sin 0), y= a (1 – cos 0) is (a) 2a cos 2 (b) 4а сos 2 | 0. (c) a cos – (d) None of these -
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- Two circles of radius 4 are tangent to the graph of y2=4x at the point (1,2). Find equations of these two circles. (Enter your answers as a comma separated list)Suppose a curve is defined by the parametric equations x=sin(t) and y=cos(t) i) Find the points on the curve where the tangent line is horizontal and vertical ii) Find the arc length of interval 0 (less than or equal to) t (less than or equal to) 2pi