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5.4.1 Geometric description of conic section

Chapter 5: Chapter 5 · MATHEMATICS-VOLUME 1 · EN medium

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. . Geometric description of conic section A plane perpendicular to the axis of the cone (plane C ) intersecting any one nape of the double napped cone yields a circle (Fig. . ) . The plane E , tilted so that it is not perpendicular to the axis, intersecting any one nape of the double napped cone yields an ellipse (Fig. . ). When the plane is parallel to a side of one napes of the double napped cone, the plane intersecting the cone yields a parabola (Fig. . ). When the plane is parallel to the plane containing the axis of the double cone, intersecting the double cone yields a hyperbola (Fig.

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 205

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. . Geometric description of conic section A plane perpendicular to the axis of the cone (plane C ) intersecting any one nape of the double napped cone yields a circle (Fig. .

) . The plane E , tilted so that it is not perpendicular to the axis, intersecting any one nape of the double napped cone yields an ellipse (Fig. . ).

When the plane is parallel to a side of one napes of the double napped cone, the plane intersecting the cone yields a parabola (Fig. . ). When the plane is parallel to the plane containing the axis of the double cone, intersecting the double cone yields a hyperbola (Fig.

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