seanieg89
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Re: 2012 HSC MX2 Marathon
A pretty fast way to prove the "reflective" properties of conics.
Let ABC be a triangle. Let X be a point on BC.
i) Prove that AB/BX = AC/CX if and only if the line segment AX bisects the angle BAC.
ii) Using the above, state and prove the reflective property of the hyperbola: x^2/a^2 - y^2/b^2 = 1.
A pretty fast way to prove the "reflective" properties of conics.
Let ABC be a triangle. Let X be a point on BC.
i) Prove that AB/BX = AC/CX if and only if the line segment AX bisects the angle BAC.
ii) Using the above, state and prove the reflective property of the hyperbola: x^2/a^2 - y^2/b^2 = 1.