Find the angle of intersection of the pair of curves r" = a" cos no and r" = a" sin no. OR If y a cos(log x) + b sin (log x). Prove that xyn +2 + (2n+1)x. yn + 1 + (x + 1)yn = 0 State-Rolle's theorem and verify it for the function f(x) = x.(x+3).e(x2), x = (-3, 0] at (1+x)-e Evaluate: x 0 X A cone is circumscribed to a sphere of radius r. Show that when the volume of the cone is least its altitude is 4r and its semivertical angle is sin (1/3). 5 Find the asymptotes of the curve (x+y).(x + 2y + 2) = x+9y-2 OR Find the radius of curvature at any point (x, y) for the curve x2 2/3 +y2/3= 2/3