Let P and , where , be two points on the hyperbola . If (h, k) is the point of intersection of the normal’s at P and Q, then k is equal to


Correct option is


P are two points on

                                                                     …… (1)

                                                                        …… (2)

Normal at P is   


                     ……. (3)

Similarly normal at Q is

                            ……. (4)

To solve (3) and (4) for y multiplying (3) by sin Ï• and (4) by    sin θ, and then subtracting,


⇒ – by  = (a2 + b2) or y = k




Find the coordinates of foci, the eccentricity and latus rectum. Determine also the equation of its directrices for the hyperbola

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