A Straight Line Intersects The Same Branch Of The Hyperbola  in P1 and P2 and Meets Its Asymptotes In Q1 and Q2. Then P1Q2 – P2Q1 is Equal To

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Question

A straight line intersects the same branch of the hyperbola  in P1 and P2 and meets its asymptotes in Q1 and Q2. Then P1Q2 – P2Q1 is equal to

Solution

Correct option is

0

Let C (x1y1), be the mid-point of P1P2, so that the equation of the line P1P2 is

         

       

      

⇒ P1Q1 = P1C + CQ2 =P2C + CQ1 = P2Q1.

                                                                                        

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