Show that semi-vertical angle of right circular cone of given surface area and
maximum volume is sin− 

1 1
3 Rationalised 2023-24
APPLICATION OF DERIVATIVES
177
Choose the correct answer in Questions 27 and 29 27 The point on the curve x2 = 2y which is nearest to the point (0, 5) is
(A) (2 2,4)
(B) (2 2,0)
(C) (0, 0)
(D) (2, 2)
28