ICS Part 2 Mathematics Chapter 6 Short Questions Preparation

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Define vertex of the cone.

• Ans 1: The 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.

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Define nappes.

• Ans 1: The surface generated consists of two parts of a right circular cones are called nappes.

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Define asymptote.

• Ans 1: A line, which seems to touch a given curve at the point of contact i.e. at infinity is called asymptote.

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Define radius of the circle.

• Ans 1: The distance from the centre of the circle to any point on the circle is called the radius of the circle.

Define conics.

• Ans 1: The curves obtained by cutting a (double) right circular cone by a plane are called conics.

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Define a normal line to a curve.

• Ans 1: A 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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Define a chord of the circle.

• Ans 1: A line segment whose end points lie on the circle is called a chord of the circle.

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Define centre of the circle.

• Ans 1: In a circle, the fixed point is called the centre of the circle which is equi-distance from all points in the plane.

Define circle as plane section of a cone.

• Ans 1: If a place cuts the cone perpendicular to the axis of the cone, then the section is a circle.

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Give definition of a circle.

• Ans 1: The set of all points in the plane that are equally distant from a fixed point is called a circle.

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In cone how the section of an ellipse is obtained.

• Ans 1: If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.

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Define asymptote.

• Ans 1: A line, which seems to touch a given curve at the point of contact i.e. at infinity is called asymptote.

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Define centre of the circle.

• Ans 1: In 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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Define point circle.

• Ans 1: If the cone is cut by a plane passes through the vertex A, then the intersection is just a single point or a point circle.

Define a chord of the circle.

• Ans 1: A line segment whose end points lie on the circle is called a chord of the circle.

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Define asymptote.

• Ans 1: A line, which seems to touch a given curve at the point of contact i.e. at infinity is called asymptote.

Define radius of the circle.

• Ans 1: The distance from the centre of the circle to any point on the circle is called the radius of the circle.

In cone how the section of an ellipse is obtained.

• Ans 1: If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.

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Define latus rectum of the parabola.

• Ans 1: The focal chord perpendicular to the axis of the parabola is called latus rectum of the parabola.

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Define conics.

• Ans 1: The curves obtained by cutting a (double) right circular cone by a plane are called conics.