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Formation of Hyperbola and Degenerate Conics

Hyperbola is ...

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Hyperbola is generated when a plane cuts both the nappe of cone passing through vertex.

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Q. The height of a solid cone is 12 cm and the area of the circular base is 64

π

cm². A plane parallel to the base of the cone cuts through the cone 9 cm above the vertex of the cone, the areas of the base of the new cone so formed is

(a) 9

π

π

π

π

Q. Which non-degenerate conic is generated when a plane cuts both the nappe of cone and does not pass through vertex?

Q. Which of the following conics are generated such that plane cutting the nappe does not pass through vertex?

Q. Which of the following conics are formed by plane cutting single nappe of double napped cone either the upper nappe or lower without passing through vertex?

Q. The Conic generated when a plane passes through vertex of double napped cone is known as non degenerate conic.

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