AM-552

Line meeting a curve

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

The line

3y = p - 6x

intersects the curve

xy = 9

at two distinct points. Find the range of values of

p

.

$p<-18\sqrt{2}$ or $p>18\sqrt{2}$
$-18\sqrt{2}\le p\le 18\sqrt{2}$
$p>18\sqrt{2}$ only
$p<-18\sqrt{2}$ only

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