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## Main Question or Discussion Point

If a general conic is

[itex]

ax^2+2hxy+by^2+2gx+2fy+c=0

[/itex]

I am told that, if P(p, q) is a point on this conic, then the polar of P(p, q) to this conic is

[itex]

apx+h(py+qx)+bgy+g(p+x)+f(q+y)+c=0

[/itex]

How is this derived?

[itex]

ax^2+2hxy+by^2+2gx+2fy+c=0

[/itex]

I am told that, if P(p, q) is a point on this conic, then the polar of P(p, q) to this conic is

[itex]

apx+h(py+qx)+bgy+g(p+x)+f(q+y)+c=0

[/itex]

How is this derived?