Level:
Project ID:
9000123103
Accepted:
1
Clonable:
0
Easy:
0
The ellipse
\[
5x^{2} + 9y^{2} = 45
\]
has tangent \(2x + 3y = 9\). Find the
values of the real parameter \(k\)
which ensure that the line \(y = kx + 3\)
is a secant for the ellipse.
\(k\in \left (-\infty ;-\frac{2}
{3}\right )\cup \left (\frac{2}
{3};\infty \right )\)
\(k\in \left [ -\frac{2}
{3}; \frac{2}
{3}\right ] \)
\(k\in \left (-\frac{2}
{3}; \frac{2}
{3}\right )\)
\(k\in \left (-\infty ;-\frac{2}
{3}\right ] \cup \left [ \frac{2}
{3};\infty \right )\)