Question: Prove that from any point (a, b) four normals can be drawn to the rectangular hyperbola xy = c and that if the coordinates

Prove that from any point (a, b) four normals can be drawn

Prove that from any point (a, b) four normals can be drawn to the rectangular hyperbola xy = c and that if the coordinates of the four feet of the normals P, Q, R, S be (x, y), i = 1, 2, 3, 4. Then (A) a = x + x + x3 + x4 and b = y + y2 + Y3 + Y4 (B) X1 X2 X3 X4 = 1 4 =- C4.

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