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  3. 8 as f 0 1 n 1 0 c c 0 f x b tan...

8 As f 0 1 n 1 0 c c 0 f x b tan...

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Calculus

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8 As f 0 1 n 1 0 c c 0 f x b tan 2 f x f x 1 Also f x is increasing Vb e R 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 1 Suppose the tangent to the hyperbola at P passes through the point 1 0 on the hyperbola x y a b and suppose the normal to the hyperbola at P cuts off equal intercepts on the coordinate axes Let A denot 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 B 2 e 2 D A b4 A 1 e 2 C A a A D As in first quadrant if normal at P is making equal intercepts on ares then slope of the normal 1

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