Question

The equation of the chord joining two points (x₁, y₁) and (x₂, y₂) on the rectangular hyperbola xy = c² is

(a) [x/(y₁ + y₂)] – [y/(x₁ + x₂)] = 1

(b) [x/(x₁ – x₂)] + [y/(y₁ – y₂)] = 1

(c) [x/(y₁ – y₂)] – [y/(x₁ – x₂)] = 1

(d) [x/(x₁ + x₂)] + [y/(y₁ + y₂)] = 1

Answer 1

The correct option (d) [x/(x₁ + x₂)] + [y/(y₁ + y₂)] = 1  

Explanation: