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Cylinder

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Cylinder

  • A cylinder is a surface generated by a moving straight line (generator) which is parallel to a fixed line and interescts a given surface or curve (guiding curve).

  • The equation of the cylinder whose generators are parallel to the line and base conic is , is given by:

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  • A right circular cylinder is a cylinder whose generator lines are at a constant distance (radius) from the fixed line (axis).

  • The equation of the right circular cylinder with axis as the and radius is given by

  • The equation of the right circular cylinder whose radius is and axis the line is given by:

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PYQs

Cylinder

1) Obtain the equation of a right circular cylinder on the circle through the points , , as the guiding curve.

[2005, 15M]


2) Prove that represents a cylinder whose cross-section is an ellipse of eccentricity .

[2001, 15M]


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