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Menaechmus was first to discover a method to solve the problem about the doubling of cube with using parabolas. Archimedes figured out the area surrounded by a parabola and a line segment Apollonius gives the name "parabola" .Pappus proved the properties of the focus and directrix of the parabola. For more details use the links given below:
Click here → Study Material of Parabola
Click here → Revision Notes of Parabola
Chapter 25: Parabola – Exercise 25.1...