By translating the axes the equation $x y - x + 2 y = 6$ has changed to $X Y = C$ , then $C =$

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Solution

The correct option is A 4
We have

$x y - x + 2 y = 6$

Now,

$x y - x + 2 y = 6$

$\Rightarrow x y - x + 2 y - 6 = 0$

$\Rightarrow x y - x + 2 y - 2 = 4$

$\Rightarrow x (y - 1) + 2 (y - 1) = 4$

$\Rightarrow (x + 2) (y - 1) = 4$

This equation is the form of $X Y = C$

Then,

$C = 4$

Hence, this is the answer.

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x y - x + 2 y = 6

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