If the centre of a circle is $(-6, 8)$ and it passes through the origin, then equation to its tangent at the origin, is

  • A

    $2y = x$

  • B

    $4y = 3x$

  • C

    $3y = 4x$

  • D

    $3x + 4y = 0$

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  • [IIT 1984]

Lines are drawn from a point $P (-1, 3)$ to a circle $x^2 + y^2 - 2x + 4y - 8 = 0$. Which meets the circle at $2$ points $A$ & $B$, then the minimum value of $PA + PB$ is