## 12swiftt 2 years ago This one's bothering me.. Find equations for two lines through the origin that are tangent to the curve (x^2) -4x+(y^2)+3=0

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1. NoelGreco

Complete the square on the quadratic in x. It's a circle.

tats a equation of circle....

3. jpu

the equation of the line is$y=+or-\sqrt{1/3}x$. just by using reduced equation form$y=mx+b$. then by solving the system$\left\{ x ^2-4x+y^2+3=0;y=mx+b \right\}$ and the line containing the origin and verifying the condition of tangency will give the result