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Question: 2
Define conics.
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2-54The curves obtained by cutting a (double) right circular cone by a plane are called conics.
Question: 3
Define latus rectum of the parabola.
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3-54The focal chord perpendicular to the axis of the parabola is called latus rectum of the parabola.
Question: 4
In cone how the section of a circle is obtained.
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4-54If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a circle.
Question: 5
Define parabola as plane section of a cone.
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5-54If the cutting plane is parallel to the generator of the cone, intersects its one nappe only, then the section is a parabola.
Question: 6
In cone how the section of an ellipse is obtained.
Answer: 6
6-54If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.
Question: 7
Define hyperbola as plane section of a cone.
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7-54If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section is a hyperbola.
Question: 8
Define vertex of the cone.
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8-54The 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: 9
Define ellipse as plane section of a cone.
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9-54If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.
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Question: 11
Define circle as plane section of a cone.
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11-54If a place cuts the cone perpendicular to the axis of the cone, then the section is a circle.
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Question: 15
Define nappes.
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15-54The surface generated consists of two parts of a right circular cones are called nappes.
Question: 16
Define the axis of the cone.
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16-54A line through the centre C of a given circle and perpendicular to its plane is called the axis of the cone.
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Question: 19
Define radius of the circle.
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19-54The distance from the centre of the circle to any point on the circle is called the radius of the circle.
Question: 20
Give definition of a circle.
Answer: 20
20-54The set of all points in the plane that are equally distant from a fixed point is called a circle.
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Question: 22
Define centre of the circle.
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22-54In a circle, the fixed point is called the centre of the circle which is equi-distance from all points in the plane.
Question: 23
Define a diameter of the circle.
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23-54A chord containing the centre of the circle is called diameter of the circle.
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Question: 25
Define point circle.
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25-54If the cone is cut by a plane passes through the vertex A, then the intersection is just a single point or a point circle.
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Question: 36
Define a chord of the circle.
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36-54A line segment whose end points lie on the circle is called a chord of the circle.
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Question: 41
Define a normal line to a curve.
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41-54A line through a point say P perpendicular to the tangent to the curve at P is called a normal line to the curve.
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Question: 43
Define a tangent line to a curve.
Answer: 43
43-54A line that touches the curve without cutting through it is called a tangent line to the curve.
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Question: 54
Define asymptote.
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54-54A line, which seems to touch a given curve at the point of contact i.e. at infinity is called asymptote.
