a?
b?
Let a and b be positive real numbers such that a > 1 and b < a. Let P be a point in the first
quadrant that lies on the hyperbola
1. Suppose the tangent to the hyperbola at P
passes through the point (1, 0), and suppose the normal to the hyperbola at P cuts off equal
intercepts on the coordinate axes. Let A denote the area of the triangle formed by the tangent at
P, the normal at P and the x-axis. If e denotes the eccentricity of the hyperbola, then which of the
following statements is/are TRUE?
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