AM-1142

Line meeting a curve

A Math · Secondary 4 · Hard · Line meeting a curve

1. $P(6,2),\ Q(\tfrac{24}{13},\tfrac{58}{13})$
2. $P(\tfrac{50+4\sqrt{23}}{13},\tfrac{40-2\sqrt{23}}{13}),\ Q(\tfrac{50-4\sqrt{23}}{13},\tfrac{40+2\sqrt{23}}{13})$
3. $P(4,3),\ Q(\tfrac{24}{13},\tfrac{58}{13})$
4. $P(4,3),\ Q(\tfrac{58}{13},\tfrac{24}{13})$

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