Question 130

a : b for the greatest possible value of $$5 - (3a - b)^{2}$$ is

Solution

The value of the expression $$5 - (3a - b)^{2}$$ will be maximum if

$$3a - b = 0$$

=> $$3a = b$$

=> $$\frac{a}{b} = \frac{1}{3}$$

$$\therefore$$ Required ratio = 1 : 3

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