IIT-JEE Exam

The line 2x + y = 1 is tangent to the hyperbola x^2/a^2 - y^2/b^2 = 1 If this line passes through the point of
intersection of the nearest directrix and the x–axis, then the eccentricity of the hyperbola is

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IIT-JEE Other Question

Equation of the circle with AB as its diameter is Let f be a real–valued differentiable function on R (the set of all real numbers) such that f(1) = 1. If the y–
intercept of the tangent at any point P(x, y) on the curve y = f(x) is equal to the cube of the abscissa of P,
then the value of f(–3) is equal to