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Project ID:
9000123103
Accepted:
1
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Je daná elipsa \(5x^{2} + 9y^{2} = 45\) a jej
dotyčnica \(2x + 3y = 9\). Určte všetky
hodnoty parametra \(k\in \mathbb{R}\)
tak, aby priamka \(y = kx + 3\)
bola sečnica zadanej elipsy.
\(k\in \left (-\infty ;-\frac{2}
{3}\right )\cup \left (\frac{2}
{3};\infty \right )\)
\(k\in \left \langle -\frac{2}
{3}; \frac{2}
{3}\right \rangle \)
\(k\in \left (-\frac{2}
{3}; \frac{2}
{3}\right )\)
\(k\in \left (-\infty ;-\frac{2}
{3}\right \rangle \cup \left \langle \frac{2}
{3};\infty \right )\)