- #1
nirvana1990
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Homework Statement
If x=2at/(1+t^2) and y=b(1-t^2)/(1+t^2), show that x^2/a^2+y^2/b^2=1
The Attempt at a Solution
I've tried squaring both equations: xt^2=4a^2t^2/(1+2t^2+t^4)
y^2=b^2(1-2t^2t^4)/(1+2t^2+t^4)
Now I've tried adding x^2 and y^2: 4a^2t^2+b^2(1-2t^2+t^4)/(1+2t^2+t^4)
Am I able to cancel any of this down now?