Let be a point on the hyperbola, . If the normal to it at intersects the x-axis at and is its eccentricity, then the ordered pair is equal to
Explanation for the correct option:
Finding the values for the ordered pair:
Given point lies on the hyperbola . Therefore,
Equation of normal is given by,
This normal intersects the x-axis at . Hence,
Also, we know that,
Substituting this in equation we get,
Therefore, the ordered pair is equal to
Hence, the correct answer is option (C).