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When the origin is shifted to the point (5,–2) then the transformed equation of the curve $xy + 2 x - 5 y + 11 = 0$ is XY = K then |k| is

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answer is -21.

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Detailed Solution

$h = \frac{1}{2}, g = 1, f = - \frac{5}{2}, c = 11 (\frac{- f}{h}, \frac{- g}{h}) = (5, - 2)$ Transformed equation is $2 h^{2} XY - 2 fg + ch = 0$
XY = –21

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