IIT-JEE Exam

Let p(x) be a real polynomial of least degree which has a local maximum at x = 1 and a local minimum at
x = 3. If p(1) = 6 p(3) = 2 , then p(0) is

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IIT-JEE Other Question

Let S be the focus of the parabola y2 = 8x and let PQ be the common chord of the circle
x^2 + y^2- 2x -4y = 0 and the given parabola. The area of the triangle PQS is. Let f : R  R be defined as f(x) = |x| + |x^2 -1|. The total number of points at which f attains either a local
maximum or a local minimum is