What is the equation of polar of the point (1, 2) with respect to the circle $x^{2} + y^{2} + 8 x + 2 y + 1 = 0$

$5 x - 3 y - 7 = 0$

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$5 x + 3 y + 7 = 0$

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$3 x + 5 y + 1 = 0$

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$3 x - 5 y - 1 = 0$

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Solution

The correct option is B
$5 x + 3 y + 7 = 0$

equation of polar is given by,

$x + 2 y + \frac{8}{2} . (x + 1) + \frac{2}{2} . (y + 2) + 1 = 0$

$5 x + 3 y + 7 = 0$ .

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