namelyanonymous
Member
I have no idea what I'm doing wrong with this question:
P( p, 1/p) and Q (q, 1/q) are two varibale points on the rectangular hyperbola xy = 1.
a) If M is the midpoint of the chord PQ and OM is perpendicular to PQ, express q in terms of p
I found:
M = ((p+q)/2, (p+q)/2pq)
m(OM) = 1/pq
m(PQ) also turns out to be 1/pq
Since the gradients are equal, they're parallel not perpendicular. What am I doing wrong?
Thanks in advance!
P( p, 1/p) and Q (q, 1/q) are two varibale points on the rectangular hyperbola xy = 1.
a) If M is the midpoint of the chord PQ and OM is perpendicular to PQ, express q in terms of p
I found:
M = ((p+q)/2, (p+q)/2pq)
m(OM) = 1/pq
m(PQ) also turns out to be 1/pq
Since the gradients are equal, they're parallel not perpendicular. What am I doing wrong?
Thanks in advance!