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Question: 1
Define hyperbola as plane section of a cone.
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1-54If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section is a hyperbola.
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Question: 5
Define ellipse as plane section of a cone.
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5-54If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.
Question: 6
Define the axis of the cone.
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6-54A line through the centre C of a given circle and perpendicular to its plane is called the axis of the cone.
Question: 7
Define parabola as plane section of a cone.
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7-54If the cutting plane is parallel to the generator of the cone, intersects its one nappe only, then the section is a parabola.
Question: 8
Define conics.
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8-54The curves obtained by cutting a (double) right circular cone by a plane are called conics.
Question: 9
Define circle as plane section of a cone.
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9-54If a place cuts the cone perpendicular to the axis of the cone, then the section is a circle.
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Question: 11
Define vertex of the cone.
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11-54The surface generated consists of two parts of a right circular cone meeting in the fixed point say then A, is called vertex or apex of the cone.
Question: 12
Define latus rectum of the parabola.
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12-54The focal chord perpendicular to the axis of the parabola is called latus rectum of the parabola.
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Question: 14
Give definition of a circle.
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14-54The set of all points in the plane that are equally distant from a fixed point is called a circle.
Question: 15
Define a chord of the circle.
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15-54A line segment whose end points lie on the circle is called a chord of the circle.
Question: 16
Define radius of the circle.
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16-54The distance from the centre of the circle to any point on the circle is called the radius of the circle.
Question: 17
Define a diameter of the circle.
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17-54A chord containing the centre of the circle is called diameter of the circle.
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Question: 20
Define nappes.
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20-54The surface generated consists of two parts of a right circular cones are called nappes.
Question: 21
In cone how the section of an ellipse is obtained.
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21-54If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.
Question: 22
Define point circle.
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22-54If the cone is cut by a plane passes through the vertex A, then the intersection is just a single point or a point circle.
Question: 23
In cone how the section of a circle is obtained.
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23-54If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a circle.
Question: 24
Define centre of the circle.
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24-54In a circle, the fixed point is called the centre of the circle which is equi-distance from all points in the plane.
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Question: 51
Define asymptote.
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51-54A line, which seems to touch a given curve at the point of contact i.e. at infinity is called asymptote.
Question: 52
Define a tangent line to a curve.
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52-54A line that touches the curve without cutting through it is called a tangent line to the curve.
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Question: 54
Define a normal line to a curve.
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54-54A line through a point say P perpendicular to the tangent to the curve at P is called a normal line to the curve.
