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15. MAXIMA AND MINIMA

Synopsis :1. A function f(x) is said to be increasing in an interval if x1, x2, x1

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Maxima and Minima

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38.Two sides of a triangle are given. If the area of the triangle is maximum, then the angle between

sides is /2.

39.The sum of the hypotenuse and side of a right angled triangle is given. If the area is maximum,

then the angle between the sides is /3.

40. If a>0, b>0, x>0, the least value of f(x) = ax +x

bis 2 ab .

41.The sides of a rectangle, with maximum perimeter, inscribed in a semi circle of radius R are5

R,

5

R4

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