A circle cuts the rectangular hyperbola in points

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

Problem

A circle cuts the rectangular hyperbola xy=1xy = 1 in points (xr,yr)(x_r, y_r), r=1,2,3,4r = 1, 2, 3, 4 then prove that x1x2x3x4=y1y2y3y4=1x_1x_2x_3x_4 = y_1y_2y_3y_4 = 1 .

Related theory

Browse the problem library