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Q.

The point to which the origin should be translated in order to make the first degree terms missing in the equation 3xy – 2x + y – 8 = 0 is

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a

$(- \frac{1}{3}, \frac{2}{3})$

b

$(- \frac{1}{3}, - \frac{2}{3})$

c

$(\frac{2}{3}, - \frac{1}{3})$

d

$(- \frac{2}{3}, \frac{1}{3})$

answer is A.

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Detailed Solution

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$R e q u i r e d p o i n t = (\frac{- f}{h}, \frac{- g}{h}) = (\frac{- 1}{3}, \frac{2}{3}) OR solve \frac{\partial f}{\partial x} = 0 \Rightarrow 3 y - 2 = 0 \Rightarrow y = \frac{2}{3} \frac{\partial f}{\partial y} = 0 \Rightarrow 3 x + 1 = 0 \Rightarrow x = \frac{- 1}{3}$

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