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2065438 Guangdong college entrance examination math problem 1 14 detailed answer.
First look at the first equation cosθ=x/√5. From cos θ 2+sin θ 2 = 1, we get (x/√ 5) 2+y 2 = 1 ...

The second equation: If y=t is substituted into x = 4/5t 2, x = 4/5y 2 ... ②.

① ② The simultaneous solution is 5Y 4+ 16Y 2- 16 = 0.

(y^2+4)(5y^2-4)=0

The answer is y 2 = 5/4.

You can't see the θ range clearly, if 0

If it is 0