# Thread: [SOLVED] Hyperbolas ... y can't i understand u???

1. ## [SOLVED] Hyperbolas ... y can't i understand u???

Hello.

Could someone be kind enough to give me some hints on how to do this problem?

P, Q and 2 variable points on xy = c^2 such that tangent at Q passes through foot of ordinate of P. Show that the locus of the intersection of tangents at P and Q is a hyperbola with the same asymptotes as the given hyperbola.

Ummm what exactly is the foot of ordinate of P...I tried to search it up but failed to come up with an idea of what it is...unless it's a typo??

2. Originally Posted by UltraGirl
Hello.

Could someone be kind enough to give me some hints on how to do this problem?

P, Q and 2 variable points on xy = c^2 such that tangent at Q passes through foot of ordinate of P. Show that the locus of the intersection of tangents at P and Q is a hyperbola with the same asymptotes as the given hyperbola.

Ummm what exactly is the foot of ordinate of P...I tried to search it up but failed to come up with an idea of what it is...unless it's a typo??

The point P has coordinates: The x-coordinate is called the abscissa and the y-coordinate is called the ordinate.

The ordinate starts allways at the x-axis (that's the foot of the ordinate) and ends at the point P.