यदि अतिपरवलय x2 - ky2 = 3 की अनंतस्पर्शीयों (asymptotes) के बीच का कोण π3 है और e इसकी उत्केन्द्रता (eccentricity) है, तो इस अतिपरवलय के संदर्भ में रेखा x + y - 1 = 0 का ध्रुव (pole) है:

The equation of the hyperbola referred to its axes of coordinates whose length of latus rectum is 4 and eccentricity is 3 is:

Let P(10, 2√15) be a point on the hyperbola x2a2 - y2b2 = 1, whose foci are S and S'. If the length of its latus rectum is 8, then the square of the area of ΔPSS' is equal to: