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 $$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$$. 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 $$\triangle$$ 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?