AM-36

Line meeting a curve

A Math · Secondary 3 · Hard · Line meeting a curve

The line

3y = k - 6x

intersects the curve

xy = 9

at two distinct points. Find the range of values of

k

.

$k<-18\sqrt2$ or $k>18\sqrt2$
$-18\sqrt2<k<18\sqrt2$
$k\le -18\sqrt2$ or $k\ge 18\sqrt2$
$k=18\sqrt2$

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