A point on the hypotenuse of a triangle is at distance a and b from the sides of
the triangle Show that the minimum length of the hypotenuse is 
2
2
3
3
3
2
(
)
a
+b 10 Find the points at which the function  f given by  f (x) = (x – 2)4 (x + 1)3 has
(i) local maxima
(ii) local minima
(iii) point of inflexion
11