If the normal at the point ' ' to the rectangular hyperbola meets it again at the…

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

If the normal at the point '

t_1

' to the rectangular hyperbola

xy = c^2

meets it again at the point '

t_2

', prove that

t_1 t_2 = -1