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1996 HSC Question 8c (1 Viewer)
- Thread starter aoniumz
- Start date
aDimitri
i'm the cook
part i)
tangents from an external point are equal in length, answer follows very easily
part ii)
note that K, L, M are 3 points on the circle. the triangles KBL & LCM are isosceles, which means the angle bisectors are perpendicular bisectors of the base lines KL & LM. from the circle property that perpendicular bisectors of chords pass through the center of the circle (not sure if i need to prove this), it follows that the point of intersection X is the center of the circle.
part iii)
not too sure how to approach this one
tangents from an external point are equal in length, answer follows very easily
part ii)
note that K, L, M are 3 points on the circle. the triangles KBL & LCM are isosceles, which means the angle bisectors are perpendicular bisectors of the base lines KL & LM. from the circle property that perpendicular bisectors of chords pass through the center of the circle (not sure if i need to prove this), it follows that the point of intersection X is the center of the circle.
part iii)
not too sure how to approach this one