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Equation of Circle with (h,k) as Center

The reflectio...

Question

The reflection of the curve xy = 1 in the line y = 2x is the curve $12 x^{2} + r x y + s y^{2} + t = 0$ then the value of 'r' is

- 7

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Solution

The correct option is A - 7
The reflection of $(α, β)$ in the line y = 2x is
$(α_{1}, β_{1}) = (\frac{4 β - 3 α}{5}, \frac{4 α + 3 β}{5}) = α_{1} β_{1} = 1$
$\Rightarrow 12 α^{2} - 7 α β - 12 β^{2} + 25 = 0$

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