Maxima and MinimaHard

Question

If xy = c2 then the minimum value of ax + by (a > 0, b > 0) is-

Options

A.- c
B.c
C.2c
D.-2c

Solution

xy = c2
min value z = ax + by; a > 0 b > 0
z = ax + b.
= a -
= a - = 0
a =
x = ± c

at x = c gives minima
z = a × c
c+ c = 2c

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