9000123103 | math4u.vsb.cz

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9000123103

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The ellipse

5 x^{2} + 9 y^{2} = 45

has tangent

2 x + 3 y = 9

. Find the values of the real parameter

k

which ensure that the line

y = k x + 3

is a secant for the ellipse.

k \in (- \infty; - \frac{2}{3}) \cup (\frac{2}{3}; \infty)

k \in [- \frac{2}{3}; \frac{2}{3}]

k \in (- \frac{2}{3}; \frac{2}{3})

k \in (- \infty; - \frac{2}{3}] \cup [\frac{2}{3}; \infty)